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Finding the Fourth Proportional to 15,629.76, 21,569.76 and 9,342

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Solution

The fourth proportional to 15,629.76, 21,569.76 and 9,342 is: 12,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,629.76 : 21,569.76 = 9,342 : x
  2. Step 2: Convert to fraction form
    15,629.76/21,569.76 = 9,342/x
  3. Step 3: Cross multiply
    15,629.76x = 21,569.76 × 9,342
  4. Step 4: Simplify right side
    15,629.76x = 201,504,697.92
  5. Step 5: Solve for x
    x = 201,504,697.92/15,629.76
  6. Step 6: Final answer
    x = 12,892.37

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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.