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Finding the Fourth Proportional to 27,800.34, 38,363 and 15,864.79

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Solution

The fourth proportional to 27,800.34, 38,363 and 15,864.79 is: 21,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,800.34 : 38,363 = 15,864.79 : x
  2. Step 2: Convert to fraction form
    27,800.34/38,363 = 15,864.79/x
  3. Step 3: Cross multiply
    27,800.34x = 38,363 × 15,864.79
  4. Step 4: Simplify right side
    27,800.34x = 608,620,938.77
  5. Step 5: Solve for x
    x = 608,620,938.77/27,800.34
  6. Step 6: Final answer
    x = 21,892.57

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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.