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Finding the Fourth Proportional to 1,584.50, 2,186.61 and 886.04

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Solution

The fourth proportional to 1,584.50, 2,186.61 and 886.04 is: 1,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.50 : 2,186.61 = 886.04 : x
  2. Step 2: Convert to fraction form
    1,584.50/2,186.61 = 886.04/x
  3. Step 3: Cross multiply
    1,584.50x = 2,186.61 × 886.04
  4. Step 4: Simplify right side
    1,584.50x = 1,937,423.92
  5. Step 5: Solve for x
    x = 1,937,423.92/1,584.50
  6. Step 6: Final answer
    x = 1,222.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.