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Finding the Fourth Proportional to 7,187.20, 9,912.99 and 6,346.42

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Solution

The fourth proportional to 7,187.20, 9,912.99 and 6,346.42 is: 8,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.20 : 9,912.99 = 6,346.42 : x
  2. Step 2: Convert to fraction form
    7,187.20/9,912.99 = 6,346.42/x
  3. Step 3: Cross multiply
    7,187.20x = 9,912.99 × 6,346.42
  4. Step 4: Simplify right side
    7,187.20x = 62,911,998.00
  5. Step 5: Solve for x
    x = 62,911,998.00/7,187.20
  6. Step 6: Final answer
    x = 8,753.34

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1.5x scale

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.