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Finding the Fourth Proportional to 10,605.11, 15,893.48 and 5,664.11

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Solution

The fourth proportional to 10,605.11, 15,893.48 and 5,664.11 is: 8,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.11 : 15,893.48 = 5,664.11 : x
  2. Step 2: Convert to fraction form
    10,605.11/15,893.48 = 5,664.11/x
  3. Step 3: Cross multiply
    10,605.11x = 15,893.48 × 5,664.11
  4. Step 4: Simplify right side
    10,605.11x = 90,022,353.70
  5. Step 5: Solve for x
    x = 90,022,353.70/10,605.11
  6. Step 6: Final answer
    x = 8,488.59

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1.5x scale

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.