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Finding the Fourth Proportional to 9,352.84, 12,890.55 and 8,322.25

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Solution

The fourth proportional to 9,352.84, 12,890.55 and 8,322.25 is: 11,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.84 : 12,890.55 = 8,322.25 : x
  2. Step 2: Convert to fraction form
    9,352.84/12,890.55 = 8,322.25/x
  3. Step 3: Cross multiply
    9,352.84x = 12,890.55 × 8,322.25
  4. Step 4: Simplify right side
    9,352.84x = 107,278,379.74
  5. Step 5: Solve for x
    x = 107,278,379.74/9,352.84
  6. Step 6: Final answer
    x = 11,470.14

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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.