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Finding the Fourth Proportional to 5,167.60, 7,751.42 and 1,272

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Solution

The fourth proportional to 5,167.60, 7,751.42 and 1,272 is: 1,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.60 : 7,751.42 = 1,272 : x
  2. Step 2: Convert to fraction form
    5,167.60/7,751.42 = 1,272/x
  3. Step 3: Cross multiply
    5,167.60x = 7,751.42 × 1,272
  4. Step 4: Simplify right side
    5,167.60x = 9,859,806.24
  5. Step 5: Solve for x
    x = 9,859,806.24/5,167.60
  6. Step 6: Final answer
    x = 1,908.00

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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.