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Finding the Fourth Proportional to 40,347, 55,678.86 and 22,683

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Solution

The fourth proportional to 40,347, 55,678.86 and 22,683 is: 31,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,347 : 55,678.86 = 22,683 : x
  2. Step 2: Convert to fraction form
    40,347/55,678.86 = 22,683/x
  3. Step 3: Cross multiply
    40,347x = 55,678.86 × 22,683
  4. Step 4: Simplify right side
    40,347x = 1,262,963,581.38
  5. Step 5: Solve for x
    x = 1,262,963,581.38/40,347
  6. Step 6: Final answer
    x = 31,302.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.