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Finding the Fourth Proportional to 6,130.86, 8,460.34 and 3,478.22

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Solution

The fourth proportional to 6,130.86, 8,460.34 and 3,478.22 is: 4,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.86 : 8,460.34 = 3,478.22 : x
  2. Step 2: Convert to fraction form
    6,130.86/8,460.34 = 3,478.22/x
  3. Step 3: Cross multiply
    6,130.86x = 8,460.34 × 3,478.22
  4. Step 4: Simplify right side
    6,130.86x = 29,426,872.80
  5. Step 5: Solve for x
    x = 29,426,872.80/6,130.86
  6. Step 6: Final answer
    x = 4,799.80

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Half scale
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Double scale
Find fourth proportional to 6,131.86, 8,461.72 and 3,479.22
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.