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Finding the Fourth Proportional to 7,245.48, 10,869.14 and 2,564.40

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Solution

The fourth proportional to 7,245.48, 10,869.14 and 2,564.40 is: 3,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.48 : 10,869.14 = 2,564.40 : x
  2. Step 2: Convert to fraction form
    7,245.48/10,869.14 = 2,564.40/x
  3. Step 3: Cross multiply
    7,245.48x = 10,869.14 × 2,564.40
  4. Step 4: Simplify right side
    7,245.48x = 27,872,822.62
  5. Step 5: Solve for x
    x = 27,872,822.62/7,245.48
  6. Step 6: Final answer
    x = 3,846.93

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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.