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Finding the Fourth Proportional to 3,439.74, 5,155.44 and 1,587

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Solution

The fourth proportional to 3,439.74, 5,155.44 and 1,587 is: 2,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.74 : 5,155.44 = 1,587 : x
  2. Step 2: Convert to fraction form
    3,439.74/5,155.44 = 1,587/x
  3. Step 3: Cross multiply
    3,439.74x = 5,155.44 × 1,587
  4. Step 4: Simplify right side
    3,439.74x = 8,181,683.28
  5. Step 5: Solve for x
    x = 8,181,683.28/3,439.74
  6. Step 6: Final answer
    x = 2,378.58

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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.