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Finding the Fourth Proportional to 21,802.85, 32,701.21 and 7,009.89

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Solution

The fourth proportional to 21,802.85, 32,701.21 and 7,009.89 is: 10,513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.85 : 32,701.21 = 7,009.89 : x
  2. Step 2: Convert to fraction form
    21,802.85/32,701.21 = 7,009.89/x
  3. Step 3: Cross multiply
    21,802.85x = 32,701.21 × 7,009.89
  4. Step 4: Simplify right side
    21,802.85x = 229,231,849.92
  5. Step 5: Solve for x
    x = 229,231,849.92/21,802.85
  6. Step 6: Final answer
    x = 10,513.85

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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.