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Finding the Fourth Proportional to 5,159.78, 7,738.50 and 1,461.01

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Solution

The fourth proportional to 5,159.78, 7,738.50 and 1,461.01 is: 2,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.78 : 7,738.50 = 1,461.01 : x
  2. Step 2: Convert to fraction form
    5,159.78/7,738.50 = 1,461.01/x
  3. Step 3: Cross multiply
    5,159.78x = 7,738.50 × 1,461.01
  4. Step 4: Simplify right side
    5,159.78x = 11,306,025.89
  5. Step 5: Solve for x
    x = 11,306,025.89/5,159.78
  6. Step 6: Final answer
    x = 2,191.18

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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.