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Finding the Fourth Proportional to 2,187.60, 3,280.84 and 781.80

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Solution

The fourth proportional to 2,187.60, 3,280.84 and 781.80 is: 1,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.60 : 3,280.84 = 781.80 : x
  2. Step 2: Convert to fraction form
    2,187.60/3,280.84 = 781.80/x
  3. Step 3: Cross multiply
    2,187.60x = 3,280.84 × 781.80
  4. Step 4: Simplify right side
    2,187.60x = 2,564,960.71
  5. Step 5: Solve for x
    x = 2,564,960.71/2,187.60
  6. Step 6: Final answer
    x = 1,172.50

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1.5x scale

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.