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Finding the Fourth Proportional to 8,678.76, 13,019.10 and 2,523.24

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Solution

The fourth proportional to 8,678.76, 13,019.10 and 2,523.24 is: 3,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.76 : 13,019.10 = 2,523.24 : x
  2. Step 2: Convert to fraction form
    8,678.76/13,019.10 = 2,523.24/x
  3. Step 3: Cross multiply
    8,678.76x = 13,019.10 × 2,523.24
  4. Step 4: Simplify right side
    8,678.76x = 32,850,313.88
  5. Step 5: Solve for x
    x = 32,850,313.88/8,678.76
  6. Step 6: Final answer
    x = 3,785.14

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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.