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Finding the Fourth Proportional to 28,011, 42,023.70 and 9,543

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Solution

The fourth proportional to 28,011, 42,023.70 and 9,543 is: 14,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,011 : 42,023.70 = 9,543 : x
  2. Step 2: Convert to fraction form
    28,011/42,023.70 = 9,543/x
  3. Step 3: Cross multiply
    28,011x = 42,023.70 × 9,543
  4. Step 4: Simplify right side
    28,011x = 401,032,169.10
  5. Step 5: Solve for x
    x = 401,032,169.10/28,011
  6. Step 6: Final answer
    x = 14,316.95

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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.