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Finding the Fourth Proportional to 9,775.86, 13,492.89 and 8,201.22

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Solution

The fourth proportional to 9,775.86, 13,492.89 and 8,201.22 is: 11,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.86 : 13,492.89 = 8,201.22 : x
  2. Step 2: Convert to fraction form
    9,775.86/13,492.89 = 8,201.22/x
  3. Step 3: Cross multiply
    9,775.86x = 13,492.89 × 8,201.22
  4. Step 4: Simplify right side
    9,775.86x = 110,658,159.33
  5. Step 5: Solve for x
    x = 110,658,159.33/9,775.86
  6. Step 6: Final answer
    x = 11,319.53

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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.