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Finding the Fourth Proportional to 1,569.13, 2,165.46 and 861.00

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Solution

The fourth proportional to 1,569.13, 2,165.46 and 861.00 is: 1,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.13 : 2,165.46 = 861.00 : x
  2. Step 2: Convert to fraction form
    1,569.13/2,165.46 = 861.00/x
  3. Step 3: Cross multiply
    1,569.13x = 2,165.46 × 861.00
  4. Step 4: Simplify right side
    1,569.13x = 1,864,449.71
  5. Step 5: Solve for x
    x = 1,864,449.71/1,569.13
  6. Step 6: Final answer
    x = 1,188.21

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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.