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Finding the Fourth Proportional to 2,719.81, 4,077.73 and 869.87

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Solution

The fourth proportional to 2,719.81, 4,077.73 and 869.87 is: 1,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.81 : 4,077.73 = 869.87 : x
  2. Step 2: Convert to fraction form
    2,719.81/4,077.73 = 869.87/x
  3. Step 3: Cross multiply
    2,719.81x = 4,077.73 × 869.87
  4. Step 4: Simplify right side
    2,719.81x = 3,547,095.00
  5. Step 5: Solve for x
    x = 3,547,095.00/2,719.81
  6. Step 6: Final answer
    x = 1,304.17

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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.