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Finding the Fourth Proportional to 7,142.64, 10,702.65 and 3,390.12

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Solution

The fourth proportional to 7,142.64, 10,702.65 and 3,390.12 is: 5,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.64 : 10,702.65 = 3,390.12 : x
  2. Step 2: Convert to fraction form
    7,142.64/10,702.65 = 3,390.12/x
  3. Step 3: Cross multiply
    7,142.64x = 10,702.65 × 3,390.12
  4. Step 4: Simplify right side
    7,142.64x = 36,283,267.82
  5. Step 5: Solve for x
    x = 36,283,267.82/7,142.64
  6. Step 6: Final answer
    x = 5,079.81

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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.