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Finding the Fourth Proportional to 2,323.88, 3,487.19 and 864.05

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Solution

The fourth proportional to 2,323.88, 3,487.19 and 864.05 is: 1,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.88 : 3,487.19 = 864.05 : x
  2. Step 2: Convert to fraction form
    2,323.88/3,487.19 = 864.05/x
  3. Step 3: Cross multiply
    2,323.88x = 3,487.19 × 864.05
  4. Step 4: Simplify right side
    2,323.88x = 3,013,106.52
  5. Step 5: Solve for x
    x = 3,013,106.52/2,323.88
  6. Step 6: Final answer
    x = 1,296.58

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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.