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Finding the Fourth Proportional to 1,562.48, 2,156.28 and 863.84

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Solution

The fourth proportional to 1,562.48, 2,156.28 and 863.84 is: 1,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.48 : 2,156.28 = 863.84 : x
  2. Step 2: Convert to fraction form
    1,562.48/2,156.28 = 863.84/x
  3. Step 3: Cross multiply
    1,562.48x = 2,156.28 × 863.84
  4. Step 4: Simplify right side
    1,562.48x = 1,862,680.92
  5. Step 5: Solve for x
    x = 1,862,680.92/1,562.48
  6. Step 6: Final answer
    x = 1,192.13

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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.