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Finding the Fourth Proportional to 9,290, 13,926.79 and 7,108.46

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Solution

The fourth proportional to 9,290, 13,926.79 and 7,108.46 is: 10,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290 : 13,926.79 = 7,108.46 : x
  2. Step 2: Convert to fraction form
    9,290/13,926.79 = 7,108.46/x
  3. Step 3: Cross multiply
    9,290x = 13,926.79 × 7,108.46
  4. Step 4: Simplify right side
    9,290x = 98,998,029.64
  5. Step 5: Solve for x
    x = 98,998,029.64/9,290
  6. Step 6: Final answer
    x = 10,656.41

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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.