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Finding the Fourth Proportional to 28,947.40, 43,421.02 and 9,225.96

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Solution

The fourth proportional to 28,947.40, 43,421.02 and 9,225.96 is: 13,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,947.40 : 43,421.02 = 9,225.96 : x
  2. Step 2: Convert to fraction form
    28,947.40/43,421.02 = 9,225.96/x
  3. Step 3: Cross multiply
    28,947.40x = 43,421.02 × 9,225.96
  4. Step 4: Simplify right side
    28,947.40x = 400,600,593.68
  5. Step 5: Solve for x
    x = 400,600,593.68/28,947.40
  6. Step 6: Final answer
    x = 13,838.91

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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.