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Finding the Fourth Proportional to 2,982.56, 4,117.56 and 2,285.12

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Solution

The fourth proportional to 2,982.56, 4,117.56 and 2,285.12 is: 3,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.56 : 4,117.56 = 2,285.12 : x
  2. Step 2: Convert to fraction form
    2,982.56/4,117.56 = 2,285.12/x
  3. Step 3: Cross multiply
    2,982.56x = 4,117.56 × 2,285.12
  4. Step 4: Simplify right side
    2,982.56x = 9,409,118.71
  5. Step 5: Solve for x
    x = 9,409,118.71/2,982.56
  6. Step 6: Final answer
    x = 3,154.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.