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Finding the Fourth Proportional to 12,140.55, 16,752 and 7,666.71

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Solution

The fourth proportional to 12,140.55, 16,752 and 7,666.71 is: 10,578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.55 : 16,752 = 7,666.71 : x
  2. Step 2: Convert to fraction form
    12,140.55/16,752 = 7,666.71/x
  3. Step 3: Cross multiply
    12,140.55x = 16,752 × 7,666.71
  4. Step 4: Simplify right side
    12,140.55x = 128,432,725.92
  5. Step 5: Solve for x
    x = 128,432,725.92/12,140.55
  6. Step 6: Final answer
    x = 10,578.82

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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.