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Finding the Fourth Proportional to 7,928.31, 11,892.86 and 6,539.07

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Solution

The fourth proportional to 7,928.31, 11,892.86 and 6,539.07 is: 9,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.31 : 11,892.86 = 6,539.07 : x
  2. Step 2: Convert to fraction form
    7,928.31/11,892.86 = 6,539.07/x
  3. Step 3: Cross multiply
    7,928.31x = 11,892.86 × 6,539.07
  4. Step 4: Simplify right side
    7,928.31x = 77,768,280.46
  5. Step 5: Solve for x
    x = 77,768,280.46/7,928.31
  6. Step 6: Final answer
    x = 9,808.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.