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Finding the Fourth Proportional to 2,983.52, 4,475.74 and 1,521.88

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Solution

The fourth proportional to 2,983.52, 4,475.74 and 1,521.88 is: 2,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.52 : 4,475.74 = 1,521.88 : x
  2. Step 2: Convert to fraction form
    2,983.52/4,475.74 = 1,521.88/x
  3. Step 3: Cross multiply
    2,983.52x = 4,475.74 × 1,521.88
  4. Step 4: Simplify right side
    2,983.52x = 6,811,539.19
  5. Step 5: Solve for x
    x = 6,811,539.19/2,983.52
  6. Step 6: Final answer
    x = 2,283.05

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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.