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Finding the Fourth Proportional to 1,897.14, 2,846.14 and 742.90

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Solution

The fourth proportional to 1,897.14, 2,846.14 and 742.90 is: 1,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.14 : 2,846.14 = 742.90 : x
  2. Step 2: Convert to fraction form
    1,897.14/2,846.14 = 742.90/x
  3. Step 3: Cross multiply
    1,897.14x = 2,846.14 × 742.90
  4. Step 4: Simplify right side
    1,897.14x = 2,114,397.41
  5. Step 5: Solve for x
    x = 2,114,397.41/1,897.14
  6. Step 6: Final answer
    x = 1,114.52

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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.