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Finding the Fourth Proportional to 7,439, 10,265.42 and 4,081.76

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Solution

The fourth proportional to 7,439, 10,265.42 and 4,081.76 is: 5,632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439 : 10,265.42 = 4,081.76 : x
  2. Step 2: Convert to fraction form
    7,439/10,265.42 = 4,081.76/x
  3. Step 3: Cross multiply
    7,439x = 10,265.42 × 4,081.76
  4. Step 4: Simplify right side
    7,439x = 41,900,980.74
  5. Step 5: Solve for x
    x = 41,900,980.74/7,439
  6. Step 6: Final answer
    x = 5,632.61

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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.