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Finding the Fourth Proportional to 15,445, 21,315.54 and 8,821

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Solution

The fourth proportional to 15,445, 21,315.54 and 8,821 is: 12,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,445 : 21,315.54 = 8,821 : x
  2. Step 2: Convert to fraction form
    15,445/21,315.54 = 8,821/x
  3. Step 3: Cross multiply
    15,445x = 21,315.54 × 8,821
  4. Step 4: Simplify right side
    15,445x = 188,024,378.34
  5. Step 5: Solve for x
    x = 188,024,378.34/15,445
  6. Step 6: Final answer
    x = 12,173.80

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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.