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Finding the Fourth Proportional to 1,565.68, 2,160.82 and 936.20

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Solution

The fourth proportional to 1,565.68, 2,160.82 and 936.20 is: 1,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.68 : 2,160.82 = 936.20 : x
  2. Step 2: Convert to fraction form
    1,565.68/2,160.82 = 936.20/x
  3. Step 3: Cross multiply
    1,565.68x = 2,160.82 × 936.20
  4. Step 4: Simplify right side
    1,565.68x = 2,022,952.38
  5. Step 5: Solve for x
    x = 2,022,952.38/1,565.68
  6. Step 6: Final answer
    x = 1,292.06

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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.