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Finding the Fourth Proportional to 7,712.01, 11,568.06 and 1,868.61

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Solution

The fourth proportional to 7,712.01, 11,568.06 and 1,868.61 is: 2,802.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.01 : 11,568.06 = 1,868.61 : x
  2. Step 2: Convert to fraction form
    7,712.01/11,568.06 = 1,868.61/x
  3. Step 3: Cross multiply
    7,712.01x = 11,568.06 × 1,868.61
  4. Step 4: Simplify right side
    7,712.01x = 21,616,192.60
  5. Step 5: Solve for x
    x = 21,616,192.60/7,712.01
  6. Step 6: Final answer
    x = 2,802.93

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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.