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Finding the Fourth Proportional to 15,541, 21,446.70 and 9,253

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Solution

The fourth proportional to 15,541, 21,446.70 and 9,253 is: 12,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,541 : 21,446.70 = 9,253 : x
  2. Step 2: Convert to fraction form
    15,541/21,446.70 = 9,253/x
  3. Step 3: Cross multiply
    15,541x = 21,446.70 × 9,253
  4. Step 4: Simplify right side
    15,541x = 198,446,315.10
  5. Step 5: Solve for x
    x = 198,446,315.10/15,541
  6. Step 6: Final answer
    x = 12,769.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.