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Finding the Fourth Proportional to 7,707, 11,564.88 and 7,644.36

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Solution

The fourth proportional to 7,707, 11,564.88 and 7,644.36 is: 11,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707 : 11,564.88 = 7,644.36 : x
  2. Step 2: Convert to fraction form
    7,707/11,564.88 = 7,644.36/x
  3. Step 3: Cross multiply
    7,707x = 11,564.88 × 7,644.36
  4. Step 4: Simplify right side
    7,707x = 88,406,106.08
  5. Step 5: Solve for x
    x = 88,406,106.08/7,707
  6. Step 6: Final answer
    x = 11,470.88

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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.