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Finding the Fourth Proportional to 2,392, 3,587.04 and 1,280.80

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Solution

The fourth proportional to 2,392, 3,587.04 and 1,280.80 is: 1,920.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392 : 3,587.04 = 1,280.80 : x
  2. Step 2: Convert to fraction form
    2,392/3,587.04 = 1,280.80/x
  3. Step 3: Cross multiply
    2,392x = 3,587.04 × 1,280.80
  4. Step 4: Simplify right side
    2,392x = 4,594,280.83
  5. Step 5: Solve for x
    x = 4,594,280.83/2,392
  6. Step 6: Final answer
    x = 1,920.69

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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.