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Finding the Fourth Proportional to 8,752.38, 12,078 and 4,773.57

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Solution

The fourth proportional to 8,752.38, 12,078 and 4,773.57 is: 6,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,752.38 : 12,078 = 4,773.57 : x
  2. Step 2: Convert to fraction form
    8,752.38/12,078 = 4,773.57/x
  3. Step 3: Cross multiply
    8,752.38x = 12,078 × 4,773.57
  4. Step 4: Simplify right side
    8,752.38x = 57,655,178.46
  5. Step 5: Solve for x
    x = 57,655,178.46/8,752.38
  6. Step 6: Final answer
    x = 6,587.37

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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.