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Finding the Fourth Proportional to 38,577, 53,233.74 and 21,578.29

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Solution

The fourth proportional to 38,577, 53,233.74 and 21,578.29 is: 29,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,577 : 53,233.74 = 21,578.29 : x
  2. Step 2: Convert to fraction form
    38,577/53,233.74 = 21,578.29/x
  3. Step 3: Cross multiply
    38,577x = 53,233.74 × 21,578.29
  4. Step 4: Simplify right side
    38,577x = 1,148,693,079.50
  5. Step 5: Solve for x
    x = 1,148,693,079.50/38,577
  6. Step 6: Final answer
    x = 29,776.63

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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.