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Finding the Fourth Proportional to 7,188.83, 9,867.58 and 6,385.31

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Solution

The fourth proportional to 7,188.83, 9,867.58 and 6,385.31 is: 8,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.83 : 9,867.58 = 6,385.31 : x
  2. Step 2: Convert to fraction form
    7,188.83/9,867.58 = 6,385.31/x
  3. Step 3: Cross multiply
    7,188.83x = 9,867.58 × 6,385.31
  4. Step 4: Simplify right side
    7,188.83x = 63,007,557.25
  5. Step 5: Solve for x
    x = 63,007,557.25/7,188.83
  6. Step 6: Final answer
    x = 8,764.65

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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.