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Finding the Fourth Proportional to 11,518, 17,281.08 and 5,678.74

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Solution

The fourth proportional to 11,518, 17,281.08 and 5,678.74 is: 8,520.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518 : 17,281.08 = 5,678.74 : x
  2. Step 2: Convert to fraction form
    11,518/17,281.08 = 5,678.74/x
  3. Step 3: Cross multiply
    11,518x = 17,281.08 × 5,678.74
  4. Step 4: Simplify right side
    11,518x = 98,134,760.24
  5. Step 5: Solve for x
    x = 98,134,760.24/11,518
  6. Step 6: Final answer
    x = 8,520.12

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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.