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Finding the Fourth Proportional to 3,509.40, 5,253.30 and 2,883

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Solution

The fourth proportional to 3,509.40, 5,253.30 and 2,883 is: 4,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.40 : 5,253.30 = 2,883 : x
  2. Step 2: Convert to fraction form
    3,509.40/5,253.30 = 2,883/x
  3. Step 3: Cross multiply
    3,509.40x = 5,253.30 × 2,883
  4. Step 4: Simplify right side
    3,509.40x = 15,145,263.90
  5. Step 5: Solve for x
    x = 15,145,263.90/3,509.40
  6. Step 6: Final answer
    x = 4,315.63

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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.