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Finding the Fourth Proportional to 21,814.17, 32,724.35 and 7,019.65

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Solution

The fourth proportional to 21,814.17, 32,724.35 and 7,019.65 is: 10,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,814.17 : 32,724.35 = 7,019.65 : x
  2. Step 2: Convert to fraction form
    21,814.17/32,724.35 = 7,019.65/x
  3. Step 3: Cross multiply
    21,814.17x = 32,724.35 × 7,019.65
  4. Step 4: Simplify right side
    21,814.17x = 229,713,483.48
  5. Step 5: Solve for x
    x = 229,713,483.48/21,814.17
  6. Step 6: Final answer
    x = 10,530.47

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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.