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Finding the Fourth Proportional to 15,088, 20,821.60 and 8,464

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Solution

The fourth proportional to 15,088, 20,821.60 and 8,464 is: 11,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,088 : 20,821.60 = 8,464 : x
  2. Step 2: Convert to fraction form
    15,088/20,821.60 = 8,464/x
  3. Step 3: Cross multiply
    15,088x = 20,821.60 × 8,464
  4. Step 4: Simplify right side
    15,088x = 176,234,022.40
  5. Step 5: Solve for x
    x = 176,234,022.40/15,088
  6. Step 6: Final answer
    x = 11,680.41

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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.