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Finding the Fourth Proportional to 2,985.52, 4,478.74 and 1,523.88

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Solution

The fourth proportional to 2,985.52, 4,478.74 and 1,523.88 is: 2,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.52 : 4,478.74 = 1,523.88 : x
  2. Step 2: Convert to fraction form
    2,985.52/4,478.74 = 1,523.88/x
  3. Step 3: Cross multiply
    2,985.52x = 4,478.74 × 1,523.88
  4. Step 4: Simplify right side
    2,985.52x = 6,825,062.31
  5. Step 5: Solve for x
    x = 6,825,062.31/2,985.52
  6. Step 6: Final answer
    x = 2,286.05

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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.