Home / 1,565.81-2,160.89-867.19

Finding the Fourth Proportional to 1,565.81, 2,160.89 and 867.19

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Solution

The fourth proportional to 1,565.81, 2,160.89 and 867.19 is: 1,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.81 : 2,160.89 = 867.19 : x
  2. Step 2: Convert to fraction form
    1,565.81/2,160.89 = 867.19/x
  3. Step 3: Cross multiply
    1,565.81x = 2,160.89 × 867.19
  4. Step 4: Simplify right side
    1,565.81x = 1,873,898.96
  5. Step 5: Solve for x
    x = 1,873,898.96/1,565.81
  6. Step 6: Final answer
    x = 1,196.76

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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.