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Finding the Fourth Proportional to 8,678.40, 13,013.76 and 2,522.88

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Solution

The fourth proportional to 8,678.40, 13,013.76 and 2,522.88 is: 3,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.40 : 13,013.76 = 2,522.88 : x
  2. Step 2: Convert to fraction form
    8,678.40/13,013.76 = 2,522.88/x
  3. Step 3: Cross multiply
    8,678.40x = 13,013.76 × 2,522.88
  4. Step 4: Simplify right side
    8,678.40x = 32,832,154.83
  5. Step 5: Solve for x
    x = 32,832,154.83/8,678.40
  6. Step 6: Final answer
    x = 3,783.20

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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.