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Finding the Fourth Proportional to 8,292.40, 11,443.14 and 4,515.47

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Solution

The fourth proportional to 8,292.40, 11,443.14 and 4,515.47 is: 6,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.40 : 11,443.14 = 4,515.47 : x
  2. Step 2: Convert to fraction form
    8,292.40/11,443.14 = 4,515.47/x
  3. Step 3: Cross multiply
    8,292.40x = 11,443.14 × 4,515.47
  4. Step 4: Simplify right side
    8,292.40x = 51,671,155.38
  5. Step 5: Solve for x
    x = 51,671,155.38/8,292.40
  6. Step 6: Final answer
    x = 6,231.15

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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.