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Finding the Fourth Proportional to 5,148.61, 7,721.70 and 2,956.21

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Solution

The fourth proportional to 5,148.61, 7,721.70 and 2,956.21 is: 4,433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.61 : 7,721.70 = 2,956.21 : x
  2. Step 2: Convert to fraction form
    5,148.61/7,721.70 = 2,956.21/x
  3. Step 3: Cross multiply
    5,148.61x = 7,721.70 × 2,956.21
  4. Step 4: Simplify right side
    5,148.61x = 22,826,966.76
  5. Step 5: Solve for x
    x = 22,826,966.76/5,148.61
  6. Step 6: Final answer
    x = 4,433.62

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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.