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Finding the Fourth Proportional to 5,153.76, 7,731.05 and 2,555.28

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Solution

The fourth proportional to 5,153.76, 7,731.05 and 2,555.28 is: 3,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.76 : 7,731.05 = 2,555.28 : x
  2. Step 2: Convert to fraction form
    5,153.76/7,731.05 = 2,555.28/x
  3. Step 3: Cross multiply
    5,153.76x = 7,731.05 × 2,555.28
  4. Step 4: Simplify right side
    5,153.76x = 19,754,984.67
  5. Step 5: Solve for x
    x = 19,754,984.67/5,153.76
  6. Step 6: Final answer
    x = 3,833.12

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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.