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Finding the Fourth Proportional to 9,624.40, 13,266.12 and 8,328.40

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Solution

The fourth proportional to 9,624.40, 13,266.12 and 8,328.40 is: 11,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.40 : 13,266.12 = 8,328.40 : x
  2. Step 2: Convert to fraction form
    9,624.40/13,266.12 = 8,328.40/x
  3. Step 3: Cross multiply
    9,624.40x = 13,266.12 × 8,328.40
  4. Step 4: Simplify right side
    9,624.40x = 110,485,553.81
  5. Step 5: Solve for x
    x = 110,485,553.81/9,624.40
  6. Step 6: Final answer
    x = 11,479.73

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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.