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Finding the Fourth Proportional to 2,931, 4,042.50 and 1,868.94

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Solution

The fourth proportional to 2,931, 4,042.50 and 1,868.94 is: 2,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931 : 4,042.50 = 1,868.94 : x
  2. Step 2: Convert to fraction form
    2,931/4,042.50 = 1,868.94/x
  3. Step 3: Cross multiply
    2,931x = 4,042.50 × 1,868.94
  4. Step 4: Simplify right side
    2,931x = 7,555,189.95
  5. Step 5: Solve for x
    x = 7,555,189.95/2,931
  6. Step 6: Final answer
    x = 2,577.68

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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.