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Finding the Fourth Proportional to 9,112, 12,574.65 and 5,132.92

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Solution

The fourth proportional to 9,112, 12,574.65 and 5,132.92 is: 7,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112 : 12,574.65 = 5,132.92 : x
  2. Step 2: Convert to fraction form
    9,112/12,574.65 = 5,132.92/x
  3. Step 3: Cross multiply
    9,112x = 12,574.65 × 5,132.92
  4. Step 4: Simplify right side
    9,112x = 64,544,672.48
  5. Step 5: Solve for x
    x = 64,544,672.48/9,112
  6. Step 6: Final answer
    x = 7,083.48

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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.