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Finding the Fourth Proportional to 7,129.60, 9,962 and 7,129.60

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Solution

The fourth proportional to 7,129.60, 9,962 and 7,129.60 is: 9,962

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.60 : 9,962 = 7,129.60 : x
  2. Step 2: Convert to fraction form
    7,129.60/9,962 = 7,129.60/x
  3. Step 3: Cross multiply
    7,129.60x = 9,962 × 7,129.60
  4. Step 4: Simplify right side
    7,129.60x = 71,025,075.20
  5. Step 5: Solve for x
    x = 71,025,075.20/7,129.60
  6. Step 6: Final answer
    x = 9,962

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.