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Finding the Fourth Proportional to 9,113, 13,671.66 and 2,957

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Solution

The fourth proportional to 9,113, 13,671.66 and 2,957 is: 4,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113 : 13,671.66 = 2,957 : x
  2. Step 2: Convert to fraction form
    9,113/13,671.66 = 2,957/x
  3. Step 3: Cross multiply
    9,113x = 13,671.66 × 2,957
  4. Step 4: Simplify right side
    9,113x = 40,427,098.62
  5. Step 5: Solve for x
    x = 40,427,098.62/9,113
  6. Step 6: Final answer
    x = 4,436.20

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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.