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Finding the Fourth Proportional to 6,840.86, 9,437.72 and 3,856.01

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Solution

The fourth proportional to 6,840.86, 9,437.72 and 3,856.01 is: 5,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.86 : 9,437.72 = 3,856.01 : x
  2. Step 2: Convert to fraction form
    6,840.86/9,437.72 = 3,856.01/x
  3. Step 3: Cross multiply
    6,840.86x = 9,437.72 × 3,856.01
  4. Step 4: Simplify right side
    6,840.86x = 36,391,876.23
  5. Step 5: Solve for x
    x = 36,391,876.23/6,840.86
  6. Step 6: Final answer
    x = 5,319.78

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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.