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Finding the Fourth Proportional to 10,702.60, 16,134 and 9,989.08

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Solution

The fourth proportional to 10,702.60, 16,134 and 9,989.08 is: 15,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.60 : 16,134 = 9,989.08 : x
  2. Step 2: Convert to fraction form
    10,702.60/16,134 = 9,989.08/x
  3. Step 3: Cross multiply
    10,702.60x = 16,134 × 9,989.08
  4. Step 4: Simplify right side
    10,702.60x = 161,163,816.72
  5. Step 5: Solve for x
    x = 161,163,816.72/10,702.60
  6. Step 6: Final answer
    x = 15,058.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.