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Finding the Fourth Proportional to 1,560.92, 2,153.03 and 1,229.22

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Solution

The fourth proportional to 1,560.92, 2,153.03 and 1,229.22 is: 1,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.92 : 2,153.03 = 1,229.22 : x
  2. Step 2: Convert to fraction form
    1,560.92/2,153.03 = 1,229.22/x
  3. Step 3: Cross multiply
    1,560.92x = 2,153.03 × 1,229.22
  4. Step 4: Simplify right side
    1,560.92x = 2,646,541.39
  5. Step 5: Solve for x
    x = 2,646,541.39/1,560.92
  6. Step 6: Final answer
    x = 1,695.51

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Half scale
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Double scale
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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.