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Finding the Fourth Proportional to 9,578.80, 13,224.18 and 6,391.24

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Solution

The fourth proportional to 9,578.80, 13,224.18 and 6,391.24 is: 8,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.80 : 13,224.18 = 6,391.24 : x
  2. Step 2: Convert to fraction form
    9,578.80/13,224.18 = 6,391.24/x
  3. Step 3: Cross multiply
    9,578.80x = 13,224.18 × 6,391.24
  4. Step 4: Simplify right side
    9,578.80x = 84,518,908.18
  5. Step 5: Solve for x
    x = 84,518,908.18/9,578.80
  6. Step 6: Final answer
    x = 8,823.54

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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.