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Finding the Fourth Proportional to 8,428, 12,626.16 and 7,791.52

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Solution

The fourth proportional to 8,428, 12,626.16 and 7,791.52 is: 11,672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428 : 12,626.16 = 7,791.52 : x
  2. Step 2: Convert to fraction form
    8,428/12,626.16 = 7,791.52/x
  3. Step 3: Cross multiply
    8,428x = 12,626.16 × 7,791.52
  4. Step 4: Simplify right side
    8,428x = 98,376,978.16
  5. Step 5: Solve for x
    x = 98,376,978.16/8,428
  6. Step 6: Final answer
    x = 11,672.64

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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.