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Finding the Fourth Proportional to 38,509.73, 53,142.84 and 21,514.22

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Solution

The fourth proportional to 38,509.73, 53,142.84 and 21,514.22 is: 29,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.73 : 53,142.84 = 21,514.22 : x
  2. Step 2: Convert to fraction form
    38,509.73/53,142.84 = 21,514.22/x
  3. Step 3: Cross multiply
    38,509.73x = 53,142.84 × 21,514.22
  4. Step 4: Simplify right side
    38,509.73x = 1,143,326,485.47
  5. Step 5: Solve for x
    x = 1,143,326,485.47/38,509.73
  6. Step 6: Final answer
    x = 29,689.29

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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.