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Finding the Fourth Proportional to 6,512.67, 9,726.82 and 5,637.87

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Solution

The fourth proportional to 6,512.67, 9,726.82 and 5,637.87 is: 8,420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.67 : 9,726.82 = 5,637.87 : x
  2. Step 2: Convert to fraction form
    6,512.67/9,726.82 = 5,637.87/x
  3. Step 3: Cross multiply
    6,512.67x = 9,726.82 × 5,637.87
  4. Step 4: Simplify right side
    6,512.67x = 54,838,532.58
  5. Step 5: Solve for x
    x = 54,838,532.58/6,512.67
  6. Step 6: Final answer
    x = 8,420.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.