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Finding the Fourth Proportional to 2,188.41, 3,280.29 and 870.36

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Solution

The fourth proportional to 2,188.41, 3,280.29 and 870.36 is: 1,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.41 : 3,280.29 = 870.36 : x
  2. Step 2: Convert to fraction form
    2,188.41/3,280.29 = 870.36/x
  3. Step 3: Cross multiply
    2,188.41x = 3,280.29 × 870.36
  4. Step 4: Simplify right side
    2,188.41x = 2,855,033.20
  5. Step 5: Solve for x
    x = 2,855,033.20/2,188.41
  6. Step 6: Final answer
    x = 1,304.62

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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.