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Finding the Fourth Proportional to 5,159.69, 7,738.52 and 1,648.75

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Solution

The fourth proportional to 5,159.69, 7,738.52 and 1,648.75 is: 2,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.69 : 7,738.52 = 1,648.75 : x
  2. Step 2: Convert to fraction form
    5,159.69/7,738.52 = 1,648.75/x
  3. Step 3: Cross multiply
    5,159.69x = 7,738.52 × 1,648.75
  4. Step 4: Simplify right side
    5,159.69x = 12,758,881.04
  5. Step 5: Solve for x
    x = 12,758,881.04/5,159.69
  6. Step 6: Final answer
    x = 2,472.80

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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.