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Finding the Fourth Proportional to 8,678.16, 13,017.24 and 2,437.92

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Solution

The fourth proportional to 8,678.16, 13,017.24 and 2,437.92 is: 3,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.16 : 13,017.24 = 2,437.92 : x
  2. Step 2: Convert to fraction form
    8,678.16/13,017.24 = 2,437.92/x
  3. Step 3: Cross multiply
    8,678.16x = 13,017.24 × 2,437.92
  4. Step 4: Simplify right side
    8,678.16x = 31,734,989.74
  5. Step 5: Solve for x
    x = 31,734,989.74/8,678.16
  6. Step 6: Final answer
    x = 3,656.88

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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.