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Finding the Fourth Proportional to 6,614.76, 9,921 and 1,871.25

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Solution

The fourth proportional to 6,614.76, 9,921 and 1,871.25 is: 2,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.76 : 9,921 = 1,871.25 : x
  2. Step 2: Convert to fraction form
    6,614.76/9,921 = 1,871.25/x
  3. Step 3: Cross multiply
    6,614.76x = 9,921 × 1,871.25
  4. Step 4: Simplify right side
    6,614.76x = 18,564,671.25
  5. Step 5: Solve for x
    x = 18,564,671.25/6,614.76
  6. Step 6: Final answer
    x = 2,806.55

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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.