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Finding the Fourth Proportional to 2,186.76, 3,280 and 888.20

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Solution

The fourth proportional to 2,186.76, 3,280 and 888.20 is: 1,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.76 : 3,280 = 888.20 : x
  2. Step 2: Convert to fraction form
    2,186.76/3,280 = 888.20/x
  3. Step 3: Cross multiply
    2,186.76x = 3,280 × 888.20
  4. Step 4: Simplify right side
    2,186.76x = 2,913,279.60
  5. Step 5: Solve for x
    x = 2,913,279.60/2,186.76
  6. Step 6: Final answer
    x = 1,332.24

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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.