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Finding the Fourth Proportional to 38,466, 53,083.17 and 21,699

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Solution

The fourth proportional to 38,466, 53,083.17 and 21,699 is: 29,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,466 : 53,083.17 = 21,699 : x
  2. Step 2: Convert to fraction form
    38,466/53,083.17 = 21,699/x
  3. Step 3: Cross multiply
    38,466x = 53,083.17 × 21,699
  4. Step 4: Simplify right side
    38,466x = 1,151,851,705.83
  5. Step 5: Solve for x
    x = 1,151,851,705.83/38,466
  6. Step 6: Final answer
    x = 29,944.67

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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.