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Finding the Fourth Proportional to 21,808.64, 32,719.34 and 7,017.23

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Solution

The fourth proportional to 21,808.64, 32,719.34 and 7,017.23 is: 10,527.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,808.64 : 32,719.34 = 7,017.23 : x
  2. Step 2: Convert to fraction form
    21,808.64/32,719.34 = 7,017.23/x
  3. Step 3: Cross multiply
    21,808.64x = 32,719.34 × 7,017.23
  4. Step 4: Simplify right side
    21,808.64x = 229,599,233.57
  5. Step 5: Solve for x
    x = 229,599,233.57/21,808.64
  6. Step 6: Final answer
    x = 10,527.90

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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.