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Finding the Fourth Proportional to 21,520, 32,281.22 and 7,669

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Solution

The fourth proportional to 21,520, 32,281.22 and 7,669 is: 11,503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,520 : 32,281.22 = 7,669 : x
  2. Step 2: Convert to fraction form
    21,520/32,281.22 = 7,669/x
  3. Step 3: Cross multiply
    21,520x = 32,281.22 × 7,669
  4. Step 4: Simplify right side
    21,520x = 247,564,676.18
  5. Step 5: Solve for x
    x = 247,564,676.18/21,520
  6. Step 6: Final answer
    x = 11,503.93

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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.