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Finding the Fourth Proportional to 6,998.78, 9,655.80 and 4,167.02

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Solution

The fourth proportional to 6,998.78, 9,655.80 and 4,167.02 is: 5,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.78 : 9,655.80 = 4,167.02 : x
  2. Step 2: Convert to fraction form
    6,998.78/9,655.80 = 4,167.02/x
  3. Step 3: Cross multiply
    6,998.78x = 9,655.80 × 4,167.02
  4. Step 4: Simplify right side
    6,998.78x = 40,235,911.72
  5. Step 5: Solve for x
    x = 40,235,911.72/6,998.78
  6. Step 6: Final answer
    x = 5,748.99

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1.5x scale

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.