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Finding the Fourth Proportional to 7,167.78, 10,739.04 and 4,977.90

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Solution

The fourth proportional to 7,167.78, 10,739.04 and 4,977.90 is: 7,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.78 : 10,739.04 = 4,977.90 : x
  2. Step 2: Convert to fraction form
    7,167.78/10,739.04 = 4,977.90/x
  3. Step 3: Cross multiply
    7,167.78x = 10,739.04 × 4,977.90
  4. Step 4: Simplify right side
    7,167.78x = 53,457,867.22
  5. Step 5: Solve for x
    x = 53,457,867.22/7,167.78
  6. Step 6: Final answer
    x = 7,458.08

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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.