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Finding the Fourth Proportional to 9,570.86, 13,206.89 and 8,865.55

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Solution

The fourth proportional to 9,570.86, 13,206.89 and 8,865.55 is: 12,233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.86 : 13,206.89 = 8,865.55 : x
  2. Step 2: Convert to fraction form
    9,570.86/13,206.89 = 8,865.55/x
  3. Step 3: Cross multiply
    9,570.86x = 13,206.89 × 8,865.55
  4. Step 4: Simplify right side
    9,570.86x = 117,086,343.64
  5. Step 5: Solve for x
    x = 117,086,343.64/9,570.86
  6. Step 6: Final answer
    x = 12,233.63

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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.