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Finding the Fourth Proportional to 6,130.98, 8,460.74 and 3,478.92

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Solution

The fourth proportional to 6,130.98, 8,460.74 and 3,478.92 is: 4,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.98 : 8,460.74 = 3,478.92 : x
  2. Step 2: Convert to fraction form
    6,130.98/8,460.74 = 3,478.92/x
  3. Step 3: Cross multiply
    6,130.98x = 8,460.74 × 3,478.92
  4. Step 4: Simplify right side
    6,130.98x = 29,434,237.60
  5. Step 5: Solve for x
    x = 29,434,237.60/6,130.98
  6. Step 6: Final answer
    x = 4,800.90

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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.