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Finding the Fourth Proportional to 8,670, 13,007.16 and 2,514

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Solution

The fourth proportional to 8,670, 13,007.16 and 2,514 is: 3,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670 : 13,007.16 = 2,514 : x
  2. Step 2: Convert to fraction form
    8,670/13,007.16 = 2,514/x
  3. Step 3: Cross multiply
    8,670x = 13,007.16 × 2,514
  4. Step 4: Simplify right side
    8,670x = 32,700,000.24
  5. Step 5: Solve for x
    x = 32,700,000.24/8,670
  6. Step 6: Final answer
    x = 3,771.63

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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.