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Finding the Fourth Proportional to 2,114.80, 2,919.44 and 1,407.82

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Solution

The fourth proportional to 2,114.80, 2,919.44 and 1,407.82 is: 1,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.80 : 2,919.44 = 1,407.82 : x
  2. Step 2: Convert to fraction form
    2,114.80/2,919.44 = 1,407.82/x
  3. Step 3: Cross multiply
    2,114.80x = 2,919.44 × 1,407.82
  4. Step 4: Simplify right side
    2,114.80x = 4,110,046.02
  5. Step 5: Solve for x
    x = 4,110,046.02/2,114.80
  6. Step 6: Final answer
    x = 1,943.47

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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.