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Finding the Fourth Proportional to 2,900.88, 4,000.50 and 2,180.16

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Solution

The fourth proportional to 2,900.88, 4,000.50 and 2,180.16 is: 3,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.88 : 4,000.50 = 2,180.16 : x
  2. Step 2: Convert to fraction form
    2,900.88/4,000.50 = 2,180.16/x
  3. Step 3: Cross multiply
    2,900.88x = 4,000.50 × 2,180.16
  4. Step 4: Simplify right side
    2,900.88x = 8,721,730.08
  5. Step 5: Solve for x
    x = 8,721,730.08/2,900.88
  6. Step 6: Final answer
    x = 3,006.58

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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.