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Finding the Fourth Proportional to 28,985.40, 43,478.10 and 8,209.08

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Solution

The fourth proportional to 28,985.40, 43,478.10 and 8,209.08 is: 12,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,985.40 : 43,478.10 = 8,209.08 : x
  2. Step 2: Convert to fraction form
    28,985.40/43,478.10 = 8,209.08/x
  3. Step 3: Cross multiply
    28,985.40x = 43,478.10 × 8,209.08
  4. Step 4: Simplify right side
    28,985.40x = 356,915,201.15
  5. Step 5: Solve for x
    x = 356,915,201.15/28,985.40
  6. Step 6: Final answer
    x = 12,313.62

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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.