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Finding the Fourth Proportional to 12,140.37, 16,752.69 and 7,423.74

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Solution

The fourth proportional to 12,140.37, 16,752.69 and 7,423.74 is: 10,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.37 : 16,752.69 = 7,423.74 : x
  2. Step 2: Convert to fraction form
    12,140.37/16,752.69 = 7,423.74/x
  3. Step 3: Cross multiply
    12,140.37x = 16,752.69 × 7,423.74
  4. Step 4: Simplify right side
    12,140.37x = 124,367,614.86
  5. Step 5: Solve for x
    x = 124,367,614.86/12,140.37
  6. Step 6: Final answer
    x = 10,244.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.