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Finding the Fourth Proportional to 9,109.98, 13,666.89 and 2,953.50

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Solution

The fourth proportional to 9,109.98, 13,666.89 and 2,953.50 is: 4,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.98 : 13,666.89 = 2,953.50 : x
  2. Step 2: Convert to fraction form
    9,109.98/13,666.89 = 2,953.50/x
  3. Step 3: Cross multiply
    9,109.98x = 13,666.89 × 2,953.50
  4. Step 4: Simplify right side
    9,109.98x = 40,365,159.62
  5. Step 5: Solve for x
    x = 40,365,159.62/9,109.98
  6. Step 6: Final answer
    x = 4,430.87

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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.