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Finding the Fourth Proportional to 10,409.76, 15,614.64 and 4,253.76

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Solution

The fourth proportional to 10,409.76, 15,614.64 and 4,253.76 is: 6,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.76 : 15,614.64 = 4,253.76 : x
  2. Step 2: Convert to fraction form
    10,409.76/15,614.64 = 4,253.76/x
  3. Step 3: Cross multiply
    10,409.76x = 15,614.64 × 4,253.76
  4. Step 4: Simplify right side
    10,409.76x = 66,420,931.05
  5. Step 5: Solve for x
    x = 66,420,931.05/10,409.76
  6. Step 6: Final answer
    x = 6,380.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.