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Finding the Fourth Proportional to 30,248, 45,372 and 11,792.96

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Solution

The fourth proportional to 30,248, 45,372 and 11,792.96 is: 17,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,248 : 45,372 = 11,792.96 : x
  2. Step 2: Convert to fraction form
    30,248/45,372 = 11,792.96/x
  3. Step 3: Cross multiply
    30,248x = 45,372 × 11,792.96
  4. Step 4: Simplify right side
    30,248x = 535,070,181.12
  5. Step 5: Solve for x
    x = 535,070,181.12/30,248
  6. Step 6: Final answer
    x = 17,689.44

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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.