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Finding the Fourth Proportional to 2,094.75, 3,142.13 and 534.75

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Solution

The fourth proportional to 2,094.75, 3,142.13 and 534.75 is: 802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.75 : 3,142.13 = 534.75 : x
  2. Step 2: Convert to fraction form
    2,094.75/3,142.13 = 534.75/x
  3. Step 3: Cross multiply
    2,094.75x = 3,142.13 × 534.75
  4. Step 4: Simplify right side
    2,094.75x = 1,680,266.07
  5. Step 5: Solve for x
    x = 1,680,266.07/2,094.75
  6. Step 6: Final answer
    x = 802.13

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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.