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Finding the Fourth Proportional to 20,578, 28,397.84 and 11,146.76

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Solution

The fourth proportional to 20,578, 28,397.84 and 11,146.76 is: 15,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578 : 28,397.84 = 11,146.76 : x
  2. Step 2: Convert to fraction form
    20,578/28,397.84 = 11,146.76/x
  3. Step 3: Cross multiply
    20,578x = 28,397.84 × 11,146.76
  4. Step 4: Simplify right side
    20,578x = 316,543,907.00
  5. Step 5: Solve for x
    x = 316,543,907.00/20,578
  6. Step 6: Final answer
    x = 15,382.64

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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.