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Finding the Fourth Proportional to 38,446, 53,055.48 and 20,782

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Solution

The fourth proportional to 38,446, 53,055.48 and 20,782 is: 28,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,446 : 53,055.48 = 20,782 : x
  2. Step 2: Convert to fraction form
    38,446/53,055.48 = 20,782/x
  3. Step 3: Cross multiply
    38,446x = 53,055.48 × 20,782
  4. Step 4: Simplify right side
    38,446x = 1,102,598,985.36
  5. Step 5: Solve for x
    x = 1,102,598,985.36/38,446
  6. Step 6: Final answer
    x = 28,679.16

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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.