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Finding the Fourth Proportional to 15,838.56, 23,714.10 and 11,931.12

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Solution

The fourth proportional to 15,838.56, 23,714.10 and 11,931.12 is: 17,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.56 : 23,714.10 = 11,931.12 : x
  2. Step 2: Convert to fraction form
    15,838.56/23,714.10 = 11,931.12/x
  3. Step 3: Cross multiply
    15,838.56x = 23,714.10 × 11,931.12
  4. Step 4: Simplify right side
    15,838.56x = 282,935,772.79
  5. Step 5: Solve for x
    x = 282,935,772.79/15,838.56
  6. Step 6: Final answer
    x = 17,863.73

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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.