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Finding the Fourth Proportional to 9,319.84, 13,950.78 and 6,965.98

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Solution

The fourth proportional to 9,319.84, 13,950.78 and 6,965.98 is: 10,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.84 : 13,950.78 = 6,965.98 : x
  2. Step 2: Convert to fraction form
    9,319.84/13,950.78 = 6,965.98/x
  3. Step 3: Cross multiply
    9,319.84x = 13,950.78 × 6,965.98
  4. Step 4: Simplify right side
    9,319.84x = 97,180,854.46
  5. Step 5: Solve for x
    x = 97,180,854.46/9,319.84
  6. Step 6: Final answer
    x = 10,427.31

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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.