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Finding the Fourth Proportional to 21,913, 32,869.50 and 7,321

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Solution

The fourth proportional to 21,913, 32,869.50 and 7,321 is: 10,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,913 : 32,869.50 = 7,321 : x
  2. Step 2: Convert to fraction form
    21,913/32,869.50 = 7,321/x
  3. Step 3: Cross multiply
    21,913x = 32,869.50 × 7,321
  4. Step 4: Simplify right side
    21,913x = 240,637,609.50
  5. Step 5: Solve for x
    x = 240,637,609.50/21,913
  6. Step 6: Final answer
    x = 10,981.50

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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.