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Finding the Fourth Proportional to 3,130.93, 4,696.03 and 822.61

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Solution

The fourth proportional to 3,130.93, 4,696.03 and 822.61 is: 1,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.93 : 4,696.03 = 822.61 : x
  2. Step 2: Convert to fraction form
    3,130.93/4,696.03 = 822.61/x
  3. Step 3: Cross multiply
    3,130.93x = 4,696.03 × 822.61
  4. Step 4: Simplify right side
    3,130.93x = 3,863,001.24
  5. Step 5: Solve for x
    x = 3,863,001.24/3,130.93
  6. Step 6: Final answer
    x = 1,233.82

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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.