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Finding the Fourth Proportional to 5,159.99, 7,740.02 and 1,264.40

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Solution

The fourth proportional to 5,159.99, 7,740.02 and 1,264.40 is: 1,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.99 : 7,740.02 = 1,264.40 : x
  2. Step 2: Convert to fraction form
    5,159.99/7,740.02 = 1,264.40/x
  3. Step 3: Cross multiply
    5,159.99x = 7,740.02 × 1,264.40
  4. Step 4: Simplify right side
    5,159.99x = 9,786,481.29
  5. Step 5: Solve for x
    x = 9,786,481.29/5,159.99
  6. Step 6: Final answer
    x = 1,896.61

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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.