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Finding the Fourth Proportional to 1,948.59, 2,921.22 and 852.13

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Solution

The fourth proportional to 1,948.59, 2,921.22 and 852.13 is: 1,277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.59 : 2,921.22 = 852.13 : x
  2. Step 2: Convert to fraction form
    1,948.59/2,921.22 = 852.13/x
  3. Step 3: Cross multiply
    1,948.59x = 2,921.22 × 852.13
  4. Step 4: Simplify right side
    1,948.59x = 2,489,259.20
  5. Step 5: Solve for x
    x = 2,489,259.20/1,948.59
  6. Step 6: Final answer
    x = 1,277.47

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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.