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Finding the Fourth Proportional to 10,957, 15,120.90 and 5,989

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Solution

The fourth proportional to 10,957, 15,120.90 and 5,989 is: 8,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957 : 15,120.90 = 5,989 : x
  2. Step 2: Convert to fraction form
    10,957/15,120.90 = 5,989/x
  3. Step 3: Cross multiply
    10,957x = 15,120.90 × 5,989
  4. Step 4: Simplify right side
    10,957x = 90,559,070.10
  5. Step 5: Solve for x
    x = 90,559,070.10/10,957
  6. Step 6: Final answer
    x = 8,264.95

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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.