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Finding the Fourth Proportional to 28,862.92, 43,281.42 and 13,285

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Solution

The fourth proportional to 28,862.92, 43,281.42 and 13,285 is: 19,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,862.92 : 43,281.42 = 13,285 : x
  2. Step 2: Convert to fraction form
    28,862.92/43,281.42 = 13,285/x
  3. Step 3: Cross multiply
    28,862.92x = 43,281.42 × 13,285
  4. Step 4: Simplify right side
    28,862.92x = 574,993,664.70
  5. Step 5: Solve for x
    x = 574,993,664.70/28,862.92
  6. Step 6: Final answer
    x = 19,921.53

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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.