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Finding the Fourth Proportional to 30,071.25, 45,106.88 and 9,294.75

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Solution

The fourth proportional to 30,071.25, 45,106.88 and 9,294.75 is: 13,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,071.25 : 45,106.88 = 9,294.75 : x
  2. Step 2: Convert to fraction form
    30,071.25/45,106.88 = 9,294.75/x
  3. Step 3: Cross multiply
    30,071.25x = 45,106.88 × 9,294.75
  4. Step 4: Simplify right side
    30,071.25x = 419,257,126.41
  5. Step 5: Solve for x
    x = 419,257,126.41/30,071.25
  6. Step 6: Final answer
    x = 13,942.13

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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.