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Finding the Fourth Proportional to 1,748.71, 2,406.36 and 1,737.91

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Solution

The fourth proportional to 1,748.71, 2,406.36 and 1,737.91 is: 2,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.71 : 2,406.36 = 1,737.91 : x
  2. Step 2: Convert to fraction form
    1,748.71/2,406.36 = 1,737.91/x
  3. Step 3: Cross multiply
    1,748.71x = 2,406.36 × 1,737.91
  4. Step 4: Simplify right side
    1,748.71x = 4,182,037.11
  5. Step 5: Solve for x
    x = 4,182,037.11/1,748.71
  6. Step 6: Final answer
    x = 2,391.50

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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.