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Finding the Fourth Proportional to 7,489.68, 10,334.40 and 4,657.80

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Solution

The fourth proportional to 7,489.68, 10,334.40 and 4,657.80 is: 6,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.68 : 10,334.40 = 4,657.80 : x
  2. Step 2: Convert to fraction form
    7,489.68/10,334.40 = 4,657.80/x
  3. Step 3: Cross multiply
    7,489.68x = 10,334.40 × 4,657.80
  4. Step 4: Simplify right side
    7,489.68x = 48,135,568.32
  5. Step 5: Solve for x
    x = 48,135,568.32/7,489.68
  6. Step 6: Final answer
    x = 6,426.92

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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.