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Finding the Fourth Proportional to 1,562.80, 2,156.66 and 864.18

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Solution

The fourth proportional to 1,562.80, 2,156.66 and 864.18 is: 1,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.80 : 2,156.66 = 864.18 : x
  2. Step 2: Convert to fraction form
    1,562.80/2,156.66 = 864.18/x
  3. Step 3: Cross multiply
    1,562.80x = 2,156.66 × 864.18
  4. Step 4: Simplify right side
    1,562.80x = 1,863,742.44
  5. Step 5: Solve for x
    x = 1,863,742.44/1,562.80
  6. Step 6: Final answer
    x = 1,192.57

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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.