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Finding the Fourth Proportional to 10,189.77, 15,259.96 and 5,178.97

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Solution

The fourth proportional to 10,189.77, 15,259.96 and 5,178.97 is: 7,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.77 : 15,259.96 = 5,178.97 : x
  2. Step 2: Convert to fraction form
    10,189.77/15,259.96 = 5,178.97/x
  3. Step 3: Cross multiply
    10,189.77x = 15,259.96 × 5,178.97
  4. Step 4: Simplify right side
    10,189.77x = 79,030,875.04
  5. Step 5: Solve for x
    x = 79,030,875.04/10,189.77
  6. Step 6: Final answer
    x = 7,755.90

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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.