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Finding the Fourth Proportional to 9,900.95, 13,662.02 and 5,920.61

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Solution

The fourth proportional to 9,900.95, 13,662.02 and 5,920.61 is: 8,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.95 : 13,662.02 = 5,920.61 : x
  2. Step 2: Convert to fraction form
    9,900.95/13,662.02 = 5,920.61/x
  3. Step 3: Cross multiply
    9,900.95x = 13,662.02 × 5,920.61
  4. Step 4: Simplify right side
    9,900.95x = 80,887,462.63
  5. Step 5: Solve for x
    x = 80,887,462.63/9,900.95
  6. Step 6: Final answer
    x = 8,169.67

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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.