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Finding the Fourth Proportional to 1,599.34, 2,395.86 and 1,248.80

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Solution

The fourth proportional to 1,599.34, 2,395.86 and 1,248.80 is: 1,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.34 : 2,395.86 = 1,248.80 : x
  2. Step 2: Convert to fraction form
    1,599.34/2,395.86 = 1,248.80/x
  3. Step 3: Cross multiply
    1,599.34x = 2,395.86 × 1,248.80
  4. Step 4: Simplify right side
    1,599.34x = 2,991,949.97
  5. Step 5: Solve for x
    x = 2,991,949.97/1,599.34
  6. Step 6: Final answer
    x = 1,870.74

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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.