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Finding the Fourth Proportional to 12,237.76, 18,317.72 and 8,758

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Solution

The fourth proportional to 12,237.76, 18,317.72 and 8,758 is: 13,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.76 : 18,317.72 = 8,758 : x
  2. Step 2: Convert to fraction form
    12,237.76/18,317.72 = 8,758/x
  3. Step 3: Cross multiply
    12,237.76x = 18,317.72 × 8,758
  4. Step 4: Simplify right side
    12,237.76x = 160,426,591.76
  5. Step 5: Solve for x
    x = 160,426,591.76/12,237.76
  6. Step 6: Final answer
    x = 13,109.15

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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.