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Finding the Fourth Proportional to 1,517.74, 2,094.78 and 987.28

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Solution

The fourth proportional to 1,517.74, 2,094.78 and 987.28 is: 1,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.74 : 2,094.78 = 987.28 : x
  2. Step 2: Convert to fraction form
    1,517.74/2,094.78 = 987.28/x
  3. Step 3: Cross multiply
    1,517.74x = 2,094.78 × 987.28
  4. Step 4: Simplify right side
    1,517.74x = 2,068,134.40
  5. Step 5: Solve for x
    x = 2,068,134.40/1,517.74
  6. Step 6: Final answer
    x = 1,362.64

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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.