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Finding the Fourth Proportional to 10,604.40, 15,911.40 and 5,055.60

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Solution

The fourth proportional to 10,604.40, 15,911.40 and 5,055.60 is: 7,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.40 : 15,911.40 = 5,055.60 : x
  2. Step 2: Convert to fraction form
    10,604.40/15,911.40 = 5,055.60/x
  3. Step 3: Cross multiply
    10,604.40x = 15,911.40 × 5,055.60
  4. Step 4: Simplify right side
    10,604.40x = 80,441,673.84
  5. Step 5: Solve for x
    x = 80,441,673.84/10,604.40
  6. Step 6: Final answer
    x = 7,585.69

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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.