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Finding the Fourth Proportional to 10,254, 14,147.28 and 6,273.12

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Solution

The fourth proportional to 10,254, 14,147.28 and 6,273.12 is: 8,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254 : 14,147.28 = 6,273.12 : x
  2. Step 2: Convert to fraction form
    10,254/14,147.28 = 6,273.12/x
  3. Step 3: Cross multiply
    10,254x = 14,147.28 × 6,273.12
  4. Step 4: Simplify right side
    10,254x = 88,747,585.11
  5. Step 5: Solve for x
    x = 88,747,585.11/10,254
  6. Step 6: Final answer
    x = 8,654.92

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Double scale
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1.5x scale

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.