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Finding the Fourth Proportional to 2,718.77, 4,077.62 and 869.39

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Solution

The fourth proportional to 2,718.77, 4,077.62 and 869.39 is: 1,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.77 : 4,077.62 = 869.39 : x
  2. Step 2: Convert to fraction form
    2,718.77/4,077.62 = 869.39/x
  3. Step 3: Cross multiply
    2,718.77x = 4,077.62 × 869.39
  4. Step 4: Simplify right side
    2,718.77x = 3,545,017.32
  5. Step 5: Solve for x
    x = 3,545,017.32/2,718.77
  6. Step 6: Final answer
    x = 1,303.91

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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.