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Finding the Fourth Proportional to 9,559.86, 13,197.03 and 6,378.42

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Solution

The fourth proportional to 9,559.86, 13,197.03 and 6,378.42 is: 8,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.86 : 13,197.03 = 6,378.42 : x
  2. Step 2: Convert to fraction form
    9,559.86/13,197.03 = 6,378.42/x
  3. Step 3: Cross multiply
    9,559.86x = 13,197.03 × 6,378.42
  4. Step 4: Simplify right side
    9,559.86x = 84,176,200.09
  5. Step 5: Solve for x
    x = 84,176,200.09/9,559.86
  6. Step 6: Final answer
    x = 8,805.17

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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.