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Finding the Fourth Proportional to 3,177.52, 4,765.74 and 869.08

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Solution

The fourth proportional to 3,177.52, 4,765.74 and 869.08 is: 1,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.52 : 4,765.74 = 869.08 : x
  2. Step 2: Convert to fraction form
    3,177.52/4,765.74 = 869.08/x
  3. Step 3: Cross multiply
    3,177.52x = 4,765.74 × 869.08
  4. Step 4: Simplify right side
    3,177.52x = 4,141,809.32
  5. Step 5: Solve for x
    x = 4,141,809.32/3,177.52
  6. Step 6: Final answer
    x = 1,303.47

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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.