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Finding the Fourth Proportional to 10,702.40, 16,052.80 and 4,460.80

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Solution

The fourth proportional to 10,702.40, 16,052.80 and 4,460.80 is: 6,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.40 : 16,052.80 = 4,460.80 : x
  2. Step 2: Convert to fraction form
    10,702.40/16,052.80 = 4,460.80/x
  3. Step 3: Cross multiply
    10,702.40x = 16,052.80 × 4,460.80
  4. Step 4: Simplify right side
    10,702.40x = 71,608,330.24
  5. Step 5: Solve for x
    x = 71,608,330.24/10,702.40
  6. Step 6: Final answer
    x = 6,690.87

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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.