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Finding the Fourth Proportional to 4,871.32, 7,304.96 and 1,868.90

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Solution

The fourth proportional to 4,871.32, 7,304.96 and 1,868.90 is: 2,802.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.32 : 7,304.96 = 1,868.90 : x
  2. Step 2: Convert to fraction form
    4,871.32/7,304.96 = 1,868.90/x
  3. Step 3: Cross multiply
    4,871.32x = 7,304.96 × 1,868.90
  4. Step 4: Simplify right side
    4,871.32x = 13,652,207.89
  5. Step 5: Solve for x
    x = 13,652,207.89/4,871.32
  6. Step 6: Final answer
    x = 2,802.57

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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.