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Finding the Fourth Proportional to 28,931, 39,924.78 and 15,683

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Solution

The fourth proportional to 28,931, 39,924.78 and 15,683 is: 21,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,931 : 39,924.78 = 15,683 : x
  2. Step 2: Convert to fraction form
    28,931/39,924.78 = 15,683/x
  3. Step 3: Cross multiply
    28,931x = 39,924.78 × 15,683
  4. Step 4: Simplify right side
    28,931x = 626,140,324.74
  5. Step 5: Solve for x
    x = 626,140,324.74/28,931
  6. Step 6: Final answer
    x = 21,642.54

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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.