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Finding the Fourth Proportional to 2,681.60, 4,022.70 and 832.70

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Solution

The fourth proportional to 2,681.60, 4,022.70 and 832.70 is: 1,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.60 : 4,022.70 = 832.70 : x
  2. Step 2: Convert to fraction form
    2,681.60/4,022.70 = 832.70/x
  3. Step 3: Cross multiply
    2,681.60x = 4,022.70 × 832.70
  4. Step 4: Simplify right side
    2,681.60x = 3,349,702.29
  5. Step 5: Solve for x
    x = 3,349,702.29/2,681.60
  6. Step 6: Final answer
    x = 1,249.14

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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.