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Finding the Fourth Proportional to 1,660.16, 2,292.02 and 1,101.10

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Solution

The fourth proportional to 1,660.16, 2,292.02 and 1,101.10 is: 1,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.16 : 2,292.02 = 1,101.10 : x
  2. Step 2: Convert to fraction form
    1,660.16/2,292.02 = 1,101.10/x
  3. Step 3: Cross multiply
    1,660.16x = 2,292.02 × 1,101.10
  4. Step 4: Simplify right side
    1,660.16x = 2,523,743.22
  5. Step 5: Solve for x
    x = 2,523,743.22/1,660.16
  6. Step 6: Final answer
    x = 1,520.18

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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.