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Finding the Fourth Proportional to 1,517.98, 2,094.96 and 928.90

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Solution

The fourth proportional to 1,517.98, 2,094.96 and 928.90 is: 1,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.98 : 2,094.96 = 928.90 : x
  2. Step 2: Convert to fraction form
    1,517.98/2,094.96 = 928.90/x
  3. Step 3: Cross multiply
    1,517.98x = 2,094.96 × 928.90
  4. Step 4: Simplify right side
    1,517.98x = 1,946,008.34
  5. Step 5: Solve for x
    x = 1,946,008.34/1,517.98
  6. Step 6: Final answer
    x = 1,281.98

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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.