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Finding the Fourth Proportional to 5,146.64, 7,719.85 and 5,009.95

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Solution

The fourth proportional to 5,146.64, 7,719.85 and 5,009.95 is: 7,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.64 : 7,719.85 = 5,009.95 : x
  2. Step 2: Convert to fraction form
    5,146.64/7,719.85 = 5,009.95/x
  3. Step 3: Cross multiply
    5,146.64x = 7,719.85 × 5,009.95
  4. Step 4: Simplify right side
    5,146.64x = 38,675,998.86
  5. Step 5: Solve for x
    x = 38,675,998.86/5,146.64
  6. Step 6: Final answer
    x = 7,514.81

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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.