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Finding the Fourth Proportional to 5,159.24, 7,739.40 and 1,648.40

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Solution

The fourth proportional to 5,159.24, 7,739.40 and 1,648.40 is: 2,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.24 : 7,739.40 = 1,648.40 : x
  2. Step 2: Convert to fraction form
    5,159.24/7,739.40 = 1,648.40/x
  3. Step 3: Cross multiply
    5,159.24x = 7,739.40 × 1,648.40
  4. Step 4: Simplify right side
    5,159.24x = 12,757,626.96
  5. Step 5: Solve for x
    x = 12,757,626.96/5,159.24
  6. Step 6: Final answer
    x = 2,472.77

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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.