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Finding the Fourth Proportional to 1,520.30, 2,097.99 and 857.15

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Solution

The fourth proportional to 1,520.30, 2,097.99 and 857.15 is: 1,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.30 : 2,097.99 = 857.15 : x
  2. Step 2: Convert to fraction form
    1,520.30/2,097.99 = 857.15/x
  3. Step 3: Cross multiply
    1,520.30x = 2,097.99 × 857.15
  4. Step 4: Simplify right side
    1,520.30x = 1,798,281.64
  5. Step 5: Solve for x
    x = 1,798,281.64/1,520.30
  6. Step 6: Final answer
    x = 1,182.85

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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.