Home / 1,520.19-2,097.93-857.11

Finding the Fourth Proportional to 1,520.19, 2,097.93 and 857.11

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Solution

The fourth proportional to 1,520.19, 2,097.93 and 857.11 is: 1,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.19 : 2,097.93 = 857.11 : x
  2. Step 2: Convert to fraction form
    1,520.19/2,097.93 = 857.11/x
  3. Step 3: Cross multiply
    1,520.19x = 2,097.93 × 857.11
  4. Step 4: Simplify right side
    1,520.19x = 1,798,156.78
  5. Step 5: Solve for x
    x = 1,798,156.78/1,520.19
  6. Step 6: Final answer
    x = 1,182.85

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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.