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Finding the Fourth Proportional to 6,255, 9,380.88 and 1,871.28

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Solution

The fourth proportional to 6,255, 9,380.88 and 1,871.28 is: 2,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,255 : 9,380.88 = 1,871.28 : x
  2. Step 2: Convert to fraction form
    6,255/9,380.88 = 1,871.28/x
  3. Step 3: Cross multiply
    6,255x = 9,380.88 × 1,871.28
  4. Step 4: Simplify right side
    6,255x = 17,554,253.13
  5. Step 5: Solve for x
    x = 17,554,253.13/6,255
  6. Step 6: Final answer
    x = 2,806.44

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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.