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Finding the Fourth Proportional to 30,504.81, 45,746.49 and 9,151.15

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Solution

The fourth proportional to 30,504.81, 45,746.49 and 9,151.15 is: 13,723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,504.81 : 45,746.49 = 9,151.15 : x
  2. Step 2: Convert to fraction form
    30,504.81/45,746.49 = 9,151.15/x
  3. Step 3: Cross multiply
    30,504.81x = 45,746.49 × 9,151.15
  4. Step 4: Simplify right side
    30,504.81x = 418,633,074.88
  5. Step 5: Solve for x
    x = 418,633,074.88/30,504.81
  6. Step 6: Final answer
    x = 13,723.51

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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.