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Finding the Fourth Proportional to 5,609.44, 7,740 and 3,516.40

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Solution

The fourth proportional to 5,609.44, 7,740 and 3,516.40 is: 4,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.44 : 7,740 = 3,516.40 : x
  2. Step 2: Convert to fraction form
    5,609.44/7,740 = 3,516.40/x
  3. Step 3: Cross multiply
    5,609.44x = 7,740 × 3,516.40
  4. Step 4: Simplify right side
    5,609.44x = 27,216,936
  5. Step 5: Solve for x
    x = 27,216,936/5,609.44
  6. Step 6: Final answer
    x = 4,851.99

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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.