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Finding the Fourth Proportional to 7,240.68, 9,992.28 and 4,724.40

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Solution

The fourth proportional to 7,240.68, 9,992.28 and 4,724.40 is: 6,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.68 : 9,992.28 = 4,724.40 : x
  2. Step 2: Convert to fraction form
    7,240.68/9,992.28 = 4,724.40/x
  3. Step 3: Cross multiply
    7,240.68x = 9,992.28 × 4,724.40
  4. Step 4: Simplify right side
    7,240.68x = 47,207,527.63
  5. Step 5: Solve for x
    x = 47,207,527.63/7,240.68
  6. Step 6: Final answer
    x = 6,519.76

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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.