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Finding the Fourth Proportional to 7,432, 10,255.48 and 4,074.76

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Solution

The fourth proportional to 7,432, 10,255.48 and 4,074.76 is: 5,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432 : 10,255.48 = 4,074.76 : x
  2. Step 2: Convert to fraction form
    7,432/10,255.48 = 4,074.76/x
  3. Step 3: Cross multiply
    7,432x = 10,255.48 × 4,074.76
  4. Step 4: Simplify right side
    7,432x = 41,788,619.68
  5. Step 5: Solve for x
    x = 41,788,619.68/7,432
  6. Step 6: Final answer
    x = 5,622.80

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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.