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Finding the Fourth Proportional to 7,006.38, 9,668.79 and 3,862.50

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Solution

The fourth proportional to 7,006.38, 9,668.79 and 3,862.50 is: 5,330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.38 : 9,668.79 = 3,862.50 : x
  2. Step 2: Convert to fraction form
    7,006.38/9,668.79 = 3,862.50/x
  3. Step 3: Cross multiply
    7,006.38x = 9,668.79 × 3,862.50
  4. Step 4: Simplify right side
    7,006.38x = 37,345,701.38
  5. Step 5: Solve for x
    x = 37,345,701.38/7,006.38
  6. Step 6: Final answer
    x = 5,330.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.