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Finding the Fourth Proportional to 28,547.85, 42,823.83 and 8,827.95

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Solution

The fourth proportional to 28,547.85, 42,823.83 and 8,827.95 is: 13,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,547.85 : 42,823.83 = 8,827.95 : x
  2. Step 2: Convert to fraction form
    28,547.85/42,823.83 = 8,827.95/x
  3. Step 3: Cross multiply
    28,547.85x = 42,823.83 × 8,827.95
  4. Step 4: Simplify right side
    28,547.85x = 378,046,630.05
  5. Step 5: Solve for x
    x = 378,046,630.05/28,547.85
  6. Step 6: Final answer
    x = 13,242.56

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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.