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Finding the Fourth Proportional to 2,225.91, 3,073.18 and 1,429.58

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Solution

The fourth proportional to 2,225.91, 3,073.18 and 1,429.58 is: 1,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.91 : 3,073.18 = 1,429.58 : x
  2. Step 2: Convert to fraction form
    2,225.91/3,073.18 = 1,429.58/x
  3. Step 3: Cross multiply
    2,225.91x = 3,073.18 × 1,429.58
  4. Step 4: Simplify right side
    2,225.91x = 4,393,356.66
  5. Step 5: Solve for x
    x = 4,393,356.66/2,225.91
  6. Step 6: Final answer
    x = 1,973.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.