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Finding the Fourth Proportional to 27,856.42, 38,442 and 15,281.20

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Solution

The fourth proportional to 27,856.42, 38,442 and 15,281.20 is: 21,088.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.42 : 38,442 = 15,281.20 : x
  2. Step 2: Convert to fraction form
    27,856.42/38,442 = 15,281.20/x
  3. Step 3: Cross multiply
    27,856.42x = 38,442 × 15,281.20
  4. Step 4: Simplify right side
    27,856.42x = 587,439,890.40
  5. Step 5: Solve for x
    x = 587,439,890.40/27,856.42
  6. Step 6: Final answer
    x = 21,088.13

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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.