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Finding the Fourth Proportional to 1,955.62, 2,931.36 and 981.19

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Solution

The fourth proportional to 1,955.62, 2,931.36 and 981.19 is: 1,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.62 : 2,931.36 = 981.19 : x
  2. Step 2: Convert to fraction form
    1,955.62/2,931.36 = 981.19/x
  3. Step 3: Cross multiply
    1,955.62x = 2,931.36 × 981.19
  4. Step 4: Simplify right side
    1,955.62x = 2,876,221.12
  5. Step 5: Solve for x
    x = 2,876,221.12/1,955.62
  6. Step 6: Final answer
    x = 1,470.75

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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.