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Finding the Fourth Proportional to 4,871.17, 7,302.65 and 1,947.88

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Solution

The fourth proportional to 4,871.17, 7,302.65 and 1,947.88 is: 2,920.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.17 : 7,302.65 = 1,947.88 : x
  2. Step 2: Convert to fraction form
    4,871.17/7,302.65 = 1,947.88/x
  3. Step 3: Cross multiply
    4,871.17x = 7,302.65 × 1,947.88
  4. Step 4: Simplify right side
    4,871.17x = 14,224,685.88
  5. Step 5: Solve for x
    x = 14,224,685.88/4,871.17
  6. Step 6: Final answer
    x = 2,920.18

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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.