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Finding the Fourth Proportional to 10,428.16, 15,648.64 and 4,272

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Solution

The fourth proportional to 10,428.16, 15,648.64 and 4,272 is: 6,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.16 : 15,648.64 = 4,272 : x
  2. Step 2: Convert to fraction form
    10,428.16/15,648.64 = 4,272/x
  3. Step 3: Cross multiply
    10,428.16x = 15,648.64 × 4,272
  4. Step 4: Simplify right side
    10,428.16x = 66,850,990.08
  5. Step 5: Solve for x
    x = 66,850,990.08/10,428.16
  6. Step 6: Final answer
    x = 6,410.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.