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Finding the Fourth Proportional to 9,811.68, 13,500.60 and 9,578.40

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Solution

The fourth proportional to 9,811.68, 13,500.60 and 9,578.40 is: 13,179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.68 : 13,500.60 = 9,578.40 : x
  2. Step 2: Convert to fraction form
    9,811.68/13,500.60 = 9,578.40/x
  3. Step 3: Cross multiply
    9,811.68x = 13,500.60 × 9,578.40
  4. Step 4: Simplify right side
    9,811.68x = 129,314,147.04
  5. Step 5: Solve for x
    x = 129,314,147.04/9,811.68
  6. Step 6: Final answer
    x = 13,179.61

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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.