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Finding the Fourth Proportional to 7,815.78, 10,782.36 and 4,671.99

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Solution

The fourth proportional to 7,815.78, 10,782.36 and 4,671.99 is: 6,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.78 : 10,782.36 = 4,671.99 : x
  2. Step 2: Convert to fraction form
    7,815.78/10,782.36 = 4,671.99/x
  3. Step 3: Cross multiply
    7,815.78x = 10,782.36 × 4,671.99
  4. Step 4: Simplify right side
    7,815.78x = 50,375,078.10
  5. Step 5: Solve for x
    x = 50,375,078.10/7,815.78
  6. Step 6: Final answer
    x = 6,445.30

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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.