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Finding the Fourth Proportional to 28,928.80, 43,385.10 and 9,213.40

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Solution

The fourth proportional to 28,928.80, 43,385.10 and 9,213.40 is: 13,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,928.80 : 43,385.10 = 9,213.40 : x
  2. Step 2: Convert to fraction form
    28,928.80/43,385.10 = 9,213.40/x
  3. Step 3: Cross multiply
    28,928.80x = 43,385.10 × 9,213.40
  4. Step 4: Simplify right side
    28,928.80x = 399,724,280.34
  5. Step 5: Solve for x
    x = 399,724,280.34/28,928.80
  6. Step 6: Final answer
    x = 13,817.52

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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.