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Finding the Fourth Proportional to 13,718.31, 18,931.28 and 7,430.69

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Solution

The fourth proportional to 13,718.31, 18,931.28 and 7,430.69 is: 10,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.31 : 18,931.28 = 7,430.69 : x
  2. Step 2: Convert to fraction form
    13,718.31/18,931.28 = 7,430.69/x
  3. Step 3: Cross multiply
    13,718.31x = 18,931.28 × 7,430.69
  4. Step 4: Simplify right side
    13,718.31x = 140,672,412.17
  5. Step 5: Solve for x
    x = 140,672,412.17/13,718.31
  6. Step 6: Final answer
    x = 10,254.35

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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.