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Finding the Fourth Proportional to 1,520.21, 2,097.91 and 857.06

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Solution

The fourth proportional to 1,520.21, 2,097.91 and 857.06 is: 1,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.21 : 2,097.91 = 857.06 : x
  2. Step 2: Convert to fraction form
    1,520.21/2,097.91 = 857.06/x
  3. Step 3: Cross multiply
    1,520.21x = 2,097.91 × 857.06
  4. Step 4: Simplify right side
    1,520.21x = 1,798,030.46
  5. Step 5: Solve for x
    x = 1,798,030.46/1,520.21
  6. Step 6: Final answer
    x = 1,182.75

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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.