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Finding the Fourth Proportional to 9,387.77, 12,954.42 and 5,137.90

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Solution

The fourth proportional to 9,387.77, 12,954.42 and 5,137.90 is: 7,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.77 : 12,954.42 = 5,137.90 : x
  2. Step 2: Convert to fraction form
    9,387.77/12,954.42 = 5,137.90/x
  3. Step 3: Cross multiply
    9,387.77x = 12,954.42 × 5,137.90
  4. Step 4: Simplify right side
    9,387.77x = 66,558,482.13
  5. Step 5: Solve for x
    x = 66,558,482.13/9,387.77
  6. Step 6: Final answer
    x = 7,089.92

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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.