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Finding the Fourth Proportional to 47,584, 65,665.92 and 28,721.14

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Solution

The fourth proportional to 47,584, 65,665.92 and 28,721.14 is: 39,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,584 : 65,665.92 = 28,721.14 : x
  2. Step 2: Convert to fraction form
    47,584/65,665.92 = 28,721.14/x
  3. Step 3: Cross multiply
    47,584x = 65,665.92 × 28,721.14
  4. Step 4: Simplify right side
    47,584x = 1,886,000,081.55
  5. Step 5: Solve for x
    x = 1,886,000,081.55/47,584
  6. Step 6: Final answer
    x = 39,635.17

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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.