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Finding the Fourth Proportional to 1,565.31, 2,160.13 and 866.69

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Solution

The fourth proportional to 1,565.31, 2,160.13 and 866.69 is: 1,196.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.31 : 2,160.13 = 866.69 : x
  2. Step 2: Convert to fraction form
    1,565.31/2,160.13 = 866.69/x
  3. Step 3: Cross multiply
    1,565.31x = 2,160.13 × 866.69
  4. Step 4: Simplify right side
    1,565.31x = 1,872,163.07
  5. Step 5: Solve for x
    x = 1,872,163.07/1,565.31
  6. Step 6: Final answer
    x = 1,196.03

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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.