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Finding the Fourth Proportional to 30,151.25, 45,229.05 and 7,964.34

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Solution

The fourth proportional to 30,151.25, 45,229.05 and 7,964.34 is: 11,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,151.25 : 45,229.05 = 7,964.34 : x
  2. Step 2: Convert to fraction form
    30,151.25/45,229.05 = 7,964.34/x
  3. Step 3: Cross multiply
    30,151.25x = 45,229.05 × 7,964.34
  4. Step 4: Simplify right side
    30,151.25x = 360,219,512.17
  5. Step 5: Solve for x
    x = 360,219,512.17/30,151.25
  6. Step 6: Final answer
    x = 11,947.08

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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.