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Finding the Fourth Proportional to 9,777.38, 14,668.78 and 4,514

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Solution

The fourth proportional to 9,777.38, 14,668.78 and 4,514 is: 6,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.38 : 14,668.78 = 4,514 : x
  2. Step 2: Convert to fraction form
    9,777.38/14,668.78 = 4,514/x
  3. Step 3: Cross multiply
    9,777.38x = 14,668.78 × 4,514
  4. Step 4: Simplify right side
    9,777.38x = 66,214,872.92
  5. Step 5: Solve for x
    x = 66,214,872.92/9,777.38
  6. Step 6: Final answer
    x = 6,772.25

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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.