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Finding the Fourth Proportional to 28,882, 39,857.28 and 15,634

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Solution

The fourth proportional to 28,882, 39,857.28 and 15,634 is: 21,574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,882 : 39,857.28 = 15,634 : x
  2. Step 2: Convert to fraction form
    28,882/39,857.28 = 15,634/x
  3. Step 3: Cross multiply
    28,882x = 39,857.28 × 15,634
  4. Step 4: Simplify right side
    28,882x = 623,128,715.52
  5. Step 5: Solve for x
    x = 623,128,715.52/28,882
  6. Step 6: Final answer
    x = 21,574.98

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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.