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Finding the Fourth Proportional to 7,703.86, 10,633.07 and 6,442.72

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Solution

The fourth proportional to 7,703.86, 10,633.07 and 6,442.72 is: 8,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.86 : 10,633.07 = 6,442.72 : x
  2. Step 2: Convert to fraction form
    7,703.86/10,633.07 = 6,442.72/x
  3. Step 3: Cross multiply
    7,703.86x = 10,633.07 × 6,442.72
  4. Step 4: Simplify right side
    7,703.86x = 68,505,892.75
  5. Step 5: Solve for x
    x = 68,505,892.75/7,703.86
  6. Step 6: Final answer
    x = 8,892.41

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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.