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Finding the Fourth Proportional to 8,405.68, 12,603.72 and 2,560.56

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Solution

The fourth proportional to 8,405.68, 12,603.72 and 2,560.56 is: 3,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.68 : 12,603.72 = 2,560.56 : x
  2. Step 2: Convert to fraction form
    8,405.68/12,603.72 = 2,560.56/x
  3. Step 3: Cross multiply
    8,405.68x = 12,603.72 × 2,560.56
  4. Step 4: Simplify right side
    8,405.68x = 32,272,581.28
  5. Step 5: Solve for x
    x = 32,272,581.28/8,405.68
  6. Step 6: Final answer
    x = 3,839.38

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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.