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Finding the Fourth Proportional to 30,151.00, 45,228.67 and 7,964.09

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Solution

The fourth proportional to 30,151.00, 45,228.67 and 7,964.09 is: 11,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,151.00 : 45,228.67 = 7,964.09 : x
  2. Step 2: Convert to fraction form
    30,151.00/45,228.67 = 7,964.09/x
  3. Step 3: Cross multiply
    30,151.00x = 45,228.67 × 7,964.09
  4. Step 4: Simplify right side
    30,151.00x = 360,205,166.81
  5. Step 5: Solve for x
    x = 360,205,166.81/30,151.00
  6. Step 6: Final answer
    x = 11,946.71

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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.