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Finding the Fourth Proportional to 9,611.10, 13,263.48 and 5,419.44

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Solution

The fourth proportional to 9,611.10, 13,263.48 and 5,419.44 is: 7,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.10 : 13,263.48 = 5,419.44 : x
  2. Step 2: Convert to fraction form
    9,611.10/13,263.48 = 5,419.44/x
  3. Step 3: Cross multiply
    9,611.10x = 13,263.48 × 5,419.44
  4. Step 4: Simplify right side
    9,611.10x = 71,880,634.05
  5. Step 5: Solve for x
    x = 71,880,634.05/9,611.10
  6. Step 6: Final answer
    x = 7,478.92

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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.