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Finding the Fourth Proportional to 2,085.60, 3,128.40 and 992.10

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Solution

The fourth proportional to 2,085.60, 3,128.40 and 992.10 is: 1,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.60 : 3,128.40 = 992.10 : x
  2. Step 2: Convert to fraction form
    2,085.60/3,128.40 = 992.10/x
  3. Step 3: Cross multiply
    2,085.60x = 3,128.40 × 992.10
  4. Step 4: Simplify right side
    2,085.60x = 3,103,685.64
  5. Step 5: Solve for x
    x = 3,103,685.64/2,085.60
  6. Step 6: Final answer
    x = 1,488.15

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.