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Finding the Fourth Proportional to 2,924, 4,035.12 and 1,876.28

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Solution

The fourth proportional to 2,924, 4,035.12 and 1,876.28 is: 2,589.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924 : 4,035.12 = 1,876.28 : x
  2. Step 2: Convert to fraction form
    2,924/4,035.12 = 1,876.28/x
  3. Step 3: Cross multiply
    2,924x = 4,035.12 × 1,876.28
  4. Step 4: Simplify right side
    2,924x = 7,571,014.95
  5. Step 5: Solve for x
    x = 7,571,014.95/2,924
  6. Step 6: Final answer
    x = 2,589.27

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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.