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Finding the Fourth Proportional to 28,683, 43,024.16 and 20,214.72

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Solution

The fourth proportional to 28,683, 43,024.16 and 20,214.72 is: 30,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,683 : 43,024.16 = 20,214.72 : x
  2. Step 2: Convert to fraction form
    28,683/43,024.16 = 20,214.72/x
  3. Step 3: Cross multiply
    28,683x = 43,024.16 × 20,214.72
  4. Step 4: Simplify right side
    28,683x = 869,721,398.17
  5. Step 5: Solve for x
    x = 869,721,398.17/28,683
  6. Step 6: Final answer
    x = 30,321.84

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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.