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Finding the Fourth Proportional to 38,430, 53,034.21 and 21,663

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Solution

The fourth proportional to 38,430, 53,034.21 and 21,663 is: 29,895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,430 : 53,034.21 = 21,663 : x
  2. Step 2: Convert to fraction form
    38,430/53,034.21 = 21,663/x
  3. Step 3: Cross multiply
    38,430x = 53,034.21 × 21,663
  4. Step 4: Simplify right side
    38,430x = 1,148,880,091.23
  5. Step 5: Solve for x
    x = 1,148,880,091.23/38,430
  6. Step 6: Final answer
    x = 29,895.40

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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.