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Finding the Fourth Proportional to 28,702.32, 43,057.80 and 10,230

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Solution

The fourth proportional to 28,702.32, 43,057.80 and 10,230 is: 15,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,702.32 : 43,057.80 = 10,230 : x
  2. Step 2: Convert to fraction form
    28,702.32/43,057.80 = 10,230/x
  3. Step 3: Cross multiply
    28,702.32x = 43,057.80 × 10,230
  4. Step 4: Simplify right side
    28,702.32x = 440,481,294
  5. Step 5: Solve for x
    x = 440,481,294/28,702.32
  6. Step 6: Final answer
    x = 15,346.54

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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.