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Finding the Fourth Proportional to 28,947, 39,946.86 and 15,699

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Solution

The fourth proportional to 28,947, 39,946.86 and 15,699 is: 21,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,947 : 39,946.86 = 15,699 : x
  2. Step 2: Convert to fraction form
    28,947/39,946.86 = 15,699/x
  3. Step 3: Cross multiply
    28,947x = 39,946.86 × 15,699
  4. Step 4: Simplify right side
    28,947x = 627,125,755.14
  5. Step 5: Solve for x
    x = 627,125,755.14/28,947
  6. Step 6: Final answer
    x = 21,664.62

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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.