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Finding the Fourth Proportional to 6,131.61, 8,461.80 and 3,478.93

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Solution

The fourth proportional to 6,131.61, 8,461.80 and 3,478.93 is: 4,801.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.61 : 8,461.80 = 3,478.93 : x
  2. Step 2: Convert to fraction form
    6,131.61/8,461.80 = 3,478.93/x
  3. Step 3: Cross multiply
    6,131.61x = 8,461.80 × 3,478.93
  4. Step 4: Simplify right side
    6,131.61x = 29,438,009.87
  5. Step 5: Solve for x
    x = 29,438,009.87/6,131.61
  6. Step 6: Final answer
    x = 4,801.02

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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.