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Finding the Fourth Proportional to 19,262, 28,894.44 and 10,938.80

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Solution

The fourth proportional to 19,262, 28,894.44 and 10,938.80 is: 16,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,262 : 28,894.44 = 10,938.80 : x
  2. Step 2: Convert to fraction form
    19,262/28,894.44 = 10,938.80/x
  3. Step 3: Cross multiply
    19,262x = 28,894.44 × 10,938.80
  4. Step 4: Simplify right side
    19,262x = 316,070,500.27
  5. Step 5: Solve for x
    x = 316,070,500.27/19,262
  6. Step 6: Final answer
    x = 16,409.02

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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.