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Finding the Fourth Proportional to 1,585.95, 2,189.96 and 996.68

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Solution

The fourth proportional to 1,585.95, 2,189.96 and 996.68 is: 1,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.95 : 2,189.96 = 996.68 : x
  2. Step 2: Convert to fraction form
    1,585.95/2,189.96 = 996.68/x
  3. Step 3: Cross multiply
    1,585.95x = 2,189.96 × 996.68
  4. Step 4: Simplify right side
    1,585.95x = 2,182,673.40
  5. Step 5: Solve for x
    x = 2,182,673.40/1,585.95
  6. Step 6: Final answer
    x = 1,376.26

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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.