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Finding the Fourth Proportional to 2,900.52, 4,000.32 and 2,200.68

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Solution

The fourth proportional to 2,900.52, 4,000.32 and 2,200.68 is: 3,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.52 : 4,000.32 = 2,200.68 : x
  2. Step 2: Convert to fraction form
    2,900.52/4,000.32 = 2,200.68/x
  3. Step 3: Cross multiply
    2,900.52x = 4,000.32 × 2,200.68
  4. Step 4: Simplify right side
    2,900.52x = 8,803,424.22
  5. Step 5: Solve for x
    x = 8,803,424.22/2,900.52
  6. Step 6: Final answer
    x = 3,035.12

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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.