Home / 7,767.84-11,657.40-5,825.28

Finding the Fourth Proportional to 7,767.84, 11,657.40 and 5,825.28

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Solution

The fourth proportional to 7,767.84, 11,657.40 and 5,825.28 is: 8,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.84 : 11,657.40 = 5,825.28 : x
  2. Step 2: Convert to fraction form
    7,767.84/11,657.40 = 5,825.28/x
  3. Step 3: Cross multiply
    7,767.84x = 11,657.40 × 5,825.28
  4. Step 4: Simplify right side
    7,767.84x = 67,907,619.07
  5. Step 5: Solve for x
    x = 67,907,619.07/7,767.84
  6. Step 6: Final answer
    x = 8,742.15

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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.