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Finding the Fourth Proportional to 21,875.68, 32,808.66 and 6,289.66

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Solution

The fourth proportional to 21,875.68, 32,808.66 and 6,289.66 is: 9,433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,875.68 : 32,808.66 = 6,289.66 : x
  2. Step 2: Convert to fraction form
    21,875.68/32,808.66 = 6,289.66/x
  3. Step 3: Cross multiply
    21,875.68x = 32,808.66 × 6,289.66
  4. Step 4: Simplify right side
    21,875.68x = 206,355,316.46
  5. Step 5: Solve for x
    x = 206,355,316.46/21,875.68
  6. Step 6: Final answer
    x = 9,433.09

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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.