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Finding the Fourth Proportional to 7,761.72, 10,726.38 and 6,897.72

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Solution

The fourth proportional to 7,761.72, 10,726.38 and 6,897.72 is: 9,532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.72 : 10,726.38 = 6,897.72 : x
  2. Step 2: Convert to fraction form
    7,761.72/10,726.38 = 6,897.72/x
  3. Step 3: Cross multiply
    7,761.72x = 10,726.38 × 6,897.72
  4. Step 4: Simplify right side
    7,761.72x = 73,987,565.85
  5. Step 5: Solve for x
    x = 73,987,565.85/7,761.72
  6. Step 6: Final answer
    x = 9,532.37

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1.5x scale

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.