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Finding the Fourth Proportional to 6,642.87, 9,963.95 and 1,712.76

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Solution

The fourth proportional to 6,642.87, 9,963.95 and 1,712.76 is: 2,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.87 : 9,963.95 = 1,712.76 : x
  2. Step 2: Convert to fraction form
    6,642.87/9,963.95 = 1,712.76/x
  3. Step 3: Cross multiply
    6,642.87x = 9,963.95 × 1,712.76
  4. Step 4: Simplify right side
    6,642.87x = 17,065,846.44
  5. Step 5: Solve for x
    x = 17,065,846.44/6,642.87
  6. Step 6: Final answer
    x = 2,569.05

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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.