Home / 1,520.19-2,097.78-857.08

Finding the Fourth Proportional to 1,520.19, 2,097.78 and 857.08

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Solution

The fourth proportional to 1,520.19, 2,097.78 and 857.08 is: 1,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.19 : 2,097.78 = 857.08 : x
  2. Step 2: Convert to fraction form
    1,520.19/2,097.78 = 857.08/x
  3. Step 3: Cross multiply
    1,520.19x = 2,097.78 × 857.08
  4. Step 4: Simplify right side
    1,520.19x = 1,797,965.28
  5. Step 5: Solve for x
    x = 1,797,965.28/1,520.19
  6. Step 6: Final answer
    x = 1,182.72

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Half scale
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Double scale
Find fourth proportional to 1,521.19, 2,099.16 and 858.08
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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.