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Finding the Fourth Proportional to 9,777, 13,492.26 and 5,361

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Solution

The fourth proportional to 9,777, 13,492.26 and 5,361 is: 7,398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777 : 13,492.26 = 5,361 : x
  2. Step 2: Convert to fraction form
    9,777/13,492.26 = 5,361/x
  3. Step 3: Cross multiply
    9,777x = 13,492.26 × 5,361
  4. Step 4: Simplify right side
    9,777x = 72,332,005.86
  5. Step 5: Solve for x
    x = 72,332,005.86/9,777
  6. Step 6: Final answer
    x = 7,398.18

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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.