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Finding the Fourth Proportional to 7,725.84, 11,590.92 and 3,340.32

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Solution

The fourth proportional to 7,725.84, 11,590.92 and 3,340.32 is: 5,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.84 : 11,590.92 = 3,340.32 : x
  2. Step 2: Convert to fraction form
    7,725.84/11,590.92 = 3,340.32/x
  3. Step 3: Cross multiply
    7,725.84x = 11,590.92 × 3,340.32
  4. Step 4: Simplify right side
    7,725.84x = 38,717,381.89
  5. Step 5: Solve for x
    x = 38,717,381.89/7,725.84
  6. Step 6: Final answer
    x = 5,011.41

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