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Finding the Fourth Proportional to 38,663, 53,354.94 and 21,899.24

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Solution

The fourth proportional to 38,663, 53,354.94 and 21,899.24 is: 30,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,663 : 53,354.94 = 21,899.24 : x
  2. Step 2: Convert to fraction form
    38,663/53,354.94 = 21,899.24/x
  3. Step 3: Cross multiply
    38,663x = 53,354.94 × 21,899.24
  4. Step 4: Simplify right side
    38,663x = 1,168,432,636.25
  5. Step 5: Solve for x
    x = 1,168,432,636.25/38,663
  6. Step 6: Final answer
    x = 30,220.95

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1.5x scale

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.