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Finding the Fourth Proportional to 30,277.99, 45,411.63 and 9,212.95

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Solution

The fourth proportional to 30,277.99, 45,411.63 and 9,212.95 is: 13,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.99 : 45,411.63 = 9,212.95 : x
  2. Step 2: Convert to fraction form
    30,277.99/45,411.63 = 9,212.95/x
  3. Step 3: Cross multiply
    30,277.99x = 45,411.63 × 9,212.95
  4. Step 4: Simplify right side
    30,277.99x = 418,375,076.61
  5. Step 5: Solve for x
    x = 418,375,076.61/30,277.99
  6. Step 6: Final answer
    x = 13,817.80

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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.