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Finding the Fourth Proportional to 7,948, 10,968.24 and 5,153.50

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Solution

The fourth proportional to 7,948, 10,968.24 and 5,153.50 is: 7,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948 : 10,968.24 = 5,153.50 : x
  2. Step 2: Convert to fraction form
    7,948/10,968.24 = 5,153.50/x
  3. Step 3: Cross multiply
    7,948x = 10,968.24 × 5,153.50
  4. Step 4: Simplify right side
    7,948x = 56,524,824.84
  5. Step 5: Solve for x
    x = 56,524,824.84/7,948
  6. Step 6: Final answer
    x = 7,111.83

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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.