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Finding the Fourth Proportional to 9,811.13, 13,539.11 and 5,334.77

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Solution

The fourth proportional to 9,811.13, 13,539.11 and 5,334.77 is: 7,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.13 : 13,539.11 = 5,334.77 : x
  2. Step 2: Convert to fraction form
    9,811.13/13,539.11 = 5,334.77/x
  3. Step 3: Cross multiply
    9,811.13x = 13,539.11 × 5,334.77
  4. Step 4: Simplify right side
    9,811.13x = 72,228,045.03
  5. Step 5: Solve for x
    x = 72,228,045.03/9,811.13
  6. Step 6: Final answer
    x = 7,361.85

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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.