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Finding the Fourth Proportional to 7,055.78, 10,617.54 and 5,815.30

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Solution

The fourth proportional to 7,055.78, 10,617.54 and 5,815.30 is: 8,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.78 : 10,617.54 = 5,815.30 : x
  2. Step 2: Convert to fraction form
    7,055.78/10,617.54 = 5,815.30/x
  3. Step 3: Cross multiply
    7,055.78x = 10,617.54 × 5,815.30
  4. Step 4: Simplify right side
    7,055.78x = 61,744,180.36
  5. Step 5: Solve for x
    x = 61,744,180.36/7,055.78
  6. Step 6: Final answer
    x = 8,750.87

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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.