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Finding the Fourth Proportional to 9,190.98, 12,651.51 and 8,010

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Solution

The fourth proportional to 9,190.98, 12,651.51 and 8,010 is: 11,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.98 : 12,651.51 = 8,010 : x
  2. Step 2: Convert to fraction form
    9,190.98/12,651.51 = 8,010/x
  3. Step 3: Cross multiply
    9,190.98x = 12,651.51 × 8,010
  4. Step 4: Simplify right side
    9,190.98x = 101,338,595.10
  5. Step 5: Solve for x
    x = 101,338,595.10/9,190.98
  6. Step 6: Final answer
    x = 11,025.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.