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Finding the Fourth Proportional to 2,982.72, 4,468.10 and 1,424.24

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Solution

The fourth proportional to 2,982.72, 4,468.10 and 1,424.24 is: 2,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.72 : 4,468.10 = 1,424.24 : x
  2. Step 2: Convert to fraction form
    2,982.72/4,468.10 = 1,424.24/x
  3. Step 3: Cross multiply
    2,982.72x = 4,468.10 × 1,424.24
  4. Step 4: Simplify right side
    2,982.72x = 6,363,646.74
  5. Step 5: Solve for x
    x = 6,363,646.74/2,982.72
  6. Step 6: Final answer
    x = 2,133.50

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1.5x scale

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.