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Finding the Fourth Proportional to 9,071.87, 13,611.71 and 4,914.84

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Solution

The fourth proportional to 9,071.87, 13,611.71 and 4,914.84 is: 7,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.87 : 13,611.71 = 4,914.84 : x
  2. Step 2: Convert to fraction form
    9,071.87/13,611.71 = 4,914.84/x
  3. Step 3: Cross multiply
    9,071.87x = 13,611.71 × 4,914.84
  4. Step 4: Simplify right side
    9,071.87x = 66,899,440.11
  5. Step 5: Solve for x
    x = 66,899,440.11/9,071.87
  6. Step 6: Final answer
    x = 7,374.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.