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Finding the Fourth Proportional to 3,129.59, 4,695.06 and 938.14

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Solution

The fourth proportional to 3,129.59, 4,695.06 and 938.14 is: 1,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.59 : 4,695.06 = 938.14 : x
  2. Step 2: Convert to fraction form
    3,129.59/4,695.06 = 938.14/x
  3. Step 3: Cross multiply
    3,129.59x = 4,695.06 × 938.14
  4. Step 4: Simplify right side
    3,129.59x = 4,404,623.59
  5. Step 5: Solve for x
    x = 4,404,623.59/3,129.59
  6. Step 6: Final answer
    x = 1,407.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.