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Finding the Fourth Proportional to 21,808.68, 32,718.32 and 7,019

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Solution

The fourth proportional to 21,808.68, 32,718.32 and 7,019 is: 10,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,808.68 : 32,718.32 = 7,019 : x
  2. Step 2: Convert to fraction form
    21,808.68/32,718.32 = 7,019/x
  3. Step 3: Cross multiply
    21,808.68x = 32,718.32 × 7,019
  4. Step 4: Simplify right side
    21,808.68x = 229,649,888.08
  5. Step 5: Solve for x
    x = 229,649,888.08/21,808.68
  6. Step 6: Final answer
    x = 10,530.21

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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.