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Finding the Fourth Proportional to 6,491.28, 9,737.15 and 1,811.41

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Solution

The fourth proportional to 6,491.28, 9,737.15 and 1,811.41 is: 2,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.28 : 9,737.15 = 1,811.41 : x
  2. Step 2: Convert to fraction form
    6,491.28/9,737.15 = 1,811.41/x
  3. Step 3: Cross multiply
    6,491.28x = 9,737.15 × 1,811.41
  4. Step 4: Simplify right side
    6,491.28x = 17,637,937.48
  5. Step 5: Solve for x
    x = 17,637,937.48/6,491.28
  6. Step 6: Final answer
    x = 2,717.17

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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.