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Finding the Fourth Proportional to 10,213, 14,099.70 and 7,724.68

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Solution

The fourth proportional to 10,213, 14,099.70 and 7,724.68 is: 10,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213 : 14,099.70 = 7,724.68 : x
  2. Step 2: Convert to fraction form
    10,213/14,099.70 = 7,724.68/x
  3. Step 3: Cross multiply
    10,213x = 14,099.70 × 7,724.68
  4. Step 4: Simplify right side
    10,213x = 108,915,670.60
  5. Step 5: Solve for x
    x = 108,915,670.60/10,213
  6. Step 6: Final answer
    x = 10,664.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.