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Finding the Fourth Proportional to 7,760.84, 11,640.13 and 2,495.16

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Solution

The fourth proportional to 7,760.84, 11,640.13 and 2,495.16 is: 3,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.84 : 11,640.13 = 2,495.16 : x
  2. Step 2: Convert to fraction form
    7,760.84/11,640.13 = 2,495.16/x
  3. Step 3: Cross multiply
    7,760.84x = 11,640.13 × 2,495.16
  4. Step 4: Simplify right side
    7,760.84x = 29,043,980.53
  5. Step 5: Solve for x
    x = 29,043,980.53/7,760.84
  6. Step 6: Final answer
    x = 3,742.38

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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.