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Finding the Fourth Proportional to 30,278.94, 45,413 and 9,213.87

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Solution

The fourth proportional to 30,278.94, 45,413 and 9,213.87 is: 13,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,278.94 : 45,413 = 9,213.87 : x
  2. Step 2: Convert to fraction form
    30,278.94/45,413 = 9,213.87/x
  3. Step 3: Cross multiply
    30,278.94x = 45,413 × 9,213.87
  4. Step 4: Simplify right side
    30,278.94x = 418,429,478.31
  5. Step 5: Solve for x
    x = 418,429,478.31/30,278.94
  6. Step 6: Final answer
    x = 13,819.16

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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.