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Finding the Fourth Proportional to 4,719.54, 7,077.54 and 1,386.78

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Solution

The fourth proportional to 4,719.54, 7,077.54 and 1,386.78 is: 2,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.54 : 7,077.54 = 1,386.78 : x
  2. Step 2: Convert to fraction form
    4,719.54/7,077.54 = 1,386.78/x
  3. Step 3: Cross multiply
    4,719.54x = 7,077.54 × 1,386.78
  4. Step 4: Simplify right side
    4,719.54x = 9,814,990.92
  5. Step 5: Solve for x
    x = 9,814,990.92/4,719.54
  6. Step 6: Final answer
    x = 2,079.65

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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.