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Finding the Fourth Proportional to 1,655.91, 2,285.96 and 1,522.48

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Solution

The fourth proportional to 1,655.91, 2,285.96 and 1,522.48 is: 2,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.91 : 2,285.96 = 1,522.48 : x
  2. Step 2: Convert to fraction form
    1,655.91/2,285.96 = 1,522.48/x
  3. Step 3: Cross multiply
    1,655.91x = 2,285.96 × 1,522.48
  4. Step 4: Simplify right side
    1,655.91x = 3,480,328.38
  5. Step 5: Solve for x
    x = 3,480,328.38/1,655.91
  6. Step 6: Final answer
    x = 2,101.76

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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.