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Finding the Fourth Proportional to 2,953.29, 4,430.34 and 873.46

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Solution

The fourth proportional to 2,953.29, 4,430.34 and 873.46 is: 1,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.29 : 4,430.34 = 873.46 : x
  2. Step 2: Convert to fraction form
    2,953.29/4,430.34 = 873.46/x
  3. Step 3: Cross multiply
    2,953.29x = 4,430.34 × 873.46
  4. Step 4: Simplify right side
    2,953.29x = 3,869,713.70
  5. Step 5: Solve for x
    x = 3,869,713.70/2,953.29
  6. Step 6: Final answer
    x = 1,310.31

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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.