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Finding the Fourth Proportional to 1,565.36, 2,160.21 and 866.78

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Solution

The fourth proportional to 1,565.36, 2,160.21 and 866.78 is: 1,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.36 : 2,160.21 = 866.78 : x
  2. Step 2: Convert to fraction form
    1,565.36/2,160.21 = 866.78/x
  3. Step 3: Cross multiply
    1,565.36x = 2,160.21 × 866.78
  4. Step 4: Simplify right side
    1,565.36x = 1,872,426.82
  5. Step 5: Solve for x
    x = 1,872,426.82/1,565.36
  6. Step 6: Final answer
    x = 1,196.16

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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.