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Finding the Fourth Proportional to 9,909.38, 13,675.55 and 5,717.63

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Solution

The fourth proportional to 9,909.38, 13,675.55 and 5,717.63 is: 7,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.38 : 13,675.55 = 5,717.63 : x
  2. Step 2: Convert to fraction form
    9,909.38/13,675.55 = 5,717.63/x
  3. Step 3: Cross multiply
    9,909.38x = 13,675.55 × 5,717.63
  4. Step 4: Simplify right side
    9,909.38x = 78,191,637.98
  5. Step 5: Solve for x
    x = 78,191,637.98/9,909.38
  6. Step 6: Final answer
    x = 7,890.67

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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.