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Finding the Fourth Proportional to 28,641.12, 42,969.12 and 8,920

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Solution

The fourth proportional to 28,641.12, 42,969.12 and 8,920 is: 13,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,641.12 : 42,969.12 = 8,920 : x
  2. Step 2: Convert to fraction form
    28,641.12/42,969.12 = 8,920/x
  3. Step 3: Cross multiply
    28,641.12x = 42,969.12 × 8,920
  4. Step 4: Simplify right side
    28,641.12x = 383,284,550.40
  5. Step 5: Solve for x
    x = 383,284,550.40/28,641.12
  6. Step 6: Final answer
    x = 13,382.32

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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.