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Finding the Fourth Proportional to 2,822.08, 4,228.46 and 972.20

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Solution

The fourth proportional to 2,822.08, 4,228.46 and 972.20 is: 1,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.08 : 4,228.46 = 972.20 : x
  2. Step 2: Convert to fraction form
    2,822.08/4,228.46 = 972.20/x
  3. Step 3: Cross multiply
    2,822.08x = 4,228.46 × 972.20
  4. Step 4: Simplify right side
    2,822.08x = 4,110,908.81
  5. Step 5: Solve for x
    x = 4,110,908.81/2,822.08
  6. Step 6: Final answer
    x = 1,456.69

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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.