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Finding the Fourth Proportional to 38,975.08, 53,786.82 and 22,207

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Solution

The fourth proportional to 38,975.08, 53,786.82 and 22,207 is: 30,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,975.08 : 53,786.82 = 22,207 : x
  2. Step 2: Convert to fraction form
    38,975.08/53,786.82 = 22,207/x
  3. Step 3: Cross multiply
    38,975.08x = 53,786.82 × 22,207
  4. Step 4: Simplify right side
    38,975.08x = 1,194,443,911.74
  5. Step 5: Solve for x
    x = 1,194,443,911.74/38,975.08
  6. Step 6: Final answer
    x = 30,646.35

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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.