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Finding the Fourth Proportional to 15,834, 21,851.28 and 10,254.72

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Solution

The fourth proportional to 15,834, 21,851.28 and 10,254.72 is: 14,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834 : 21,851.28 = 10,254.72 : x
  2. Step 2: Convert to fraction form
    15,834/21,851.28 = 10,254.72/x
  3. Step 3: Cross multiply
    15,834x = 21,851.28 × 10,254.72
  4. Step 4: Simplify right side
    15,834x = 224,078,758.04
  5. Step 5: Solve for x
    x = 224,078,758.04/15,834
  6. Step 6: Final answer
    x = 14,151.75

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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.