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Finding the Fourth Proportional to 7,176.48, 9,891.36 and 5,474.40

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Solution

The fourth proportional to 7,176.48, 9,891.36 and 5,474.40 is: 7,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.48 : 9,891.36 = 5,474.40 : x
  2. Step 2: Convert to fraction form
    7,176.48/9,891.36 = 5,474.40/x
  3. Step 3: Cross multiply
    7,176.48x = 9,891.36 × 5,474.40
  4. Step 4: Simplify right side
    7,176.48x = 54,149,261.18
  5. Step 5: Solve for x
    x = 54,149,261.18/7,176.48
  6. Step 6: Final answer
    x = 7,545.38

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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.