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Finding the Fourth Proportional to 30,216, 45,324 and 11,748

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Solution

The fourth proportional to 30,216, 45,324 and 11,748 is: 17,622

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,216 : 45,324 = 11,748 : x
  2. Step 2: Convert to fraction form
    30,216/45,324 = 11,748/x
  3. Step 3: Cross multiply
    30,216x = 45,324 × 11,748
  4. Step 4: Simplify right side
    30,216x = 532,466,352
  5. Step 5: Solve for x
    x = 532,466,352/30,216
  6. Step 6: Final answer
    x = 17,622

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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.