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Finding the Fourth Proportional to 6,642.96, 9,107.85 and 6,524.48

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Solution

The fourth proportional to 6,642.96, 9,107.85 and 6,524.48 is: 8,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.96 : 9,107.85 = 6,524.48 : x
  2. Step 2: Convert to fraction form
    6,642.96/9,107.85 = 6,524.48/x
  3. Step 3: Cross multiply
    6,642.96x = 9,107.85 × 6,524.48
  4. Step 4: Simplify right side
    6,642.96x = 59,423,985.17
  5. Step 5: Solve for x
    x = 59,423,985.17/6,642.96
  6. Step 6: Final answer
    x = 8,945.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.