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Finding the Fourth Proportional to 28,865.30, 43,296.32 and 7,805.04

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Solution

The fourth proportional to 28,865.30, 43,296.32 and 7,805.04 is: 11,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,865.30 : 43,296.32 = 7,805.04 : x
  2. Step 2: Convert to fraction form
    28,865.30/43,296.32 = 7,805.04/x
  3. Step 3: Cross multiply
    28,865.30x = 43,296.32 × 7,805.04
  4. Step 4: Simplify right side
    28,865.30x = 337,929,509.45
  5. Step 5: Solve for x
    x = 337,929,509.45/28,865.30
  6. Step 6: Final answer
    x = 11,707.12

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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.