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Finding the Fourth Proportional to 3,315.87, 4,970.36 and 1,648.89

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Solution

The fourth proportional to 3,315.87, 4,970.36 and 1,648.89 is: 2,471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.87 : 4,970.36 = 1,648.89 : x
  2. Step 2: Convert to fraction form
    3,315.87/4,970.36 = 1,648.89/x
  3. Step 3: Cross multiply
    3,315.87x = 4,970.36 × 1,648.89
  4. Step 4: Simplify right side
    3,315.87x = 8,195,581.02
  5. Step 5: Solve for x
    x = 8,195,581.02/3,315.87
  6. Step 6: Final answer
    x = 2,471.62

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Why These Related Problems?

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