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Finding the Fourth Proportional to 2,949.84, 4,421.12 and 2,585.34

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Solution

The fourth proportional to 2,949.84, 4,421.12 and 2,585.34 is: 3,874.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.84 : 4,421.12 = 2,585.34 : x
  2. Step 2: Convert to fraction form
    2,949.84/4,421.12 = 2,585.34/x
  3. Step 3: Cross multiply
    2,949.84x = 4,421.12 × 2,585.34
  4. Step 4: Simplify right side
    2,949.84x = 11,430,085.45
  5. Step 5: Solve for x
    x = 11,430,085.45/2,949.84
  6. Step 6: Final answer
    x = 3,874.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.