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Finding the Fourth Proportional to 6,912.96, 9,539.68 and 3,929.12

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Solution

The fourth proportional to 6,912.96, 9,539.68 and 3,929.12 is: 5,422.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.96 : 9,539.68 = 3,929.12 : x
  2. Step 2: Convert to fraction form
    6,912.96/9,539.68 = 3,929.12/x
  3. Step 3: Cross multiply
    6,912.96x = 9,539.68 × 3,929.12
  4. Step 4: Simplify right side
    6,912.96x = 37,482,547.48
  5. Step 5: Solve for x
    x = 37,482,547.48/6,912.96
  6. Step 6: Final answer
    x = 5,422.07

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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.