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Finding the Fourth Proportional to 38,700, 53,406 and 21,934.08

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Solution

The fourth proportional to 38,700, 53,406 and 21,934.08 is: 30,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,700 : 53,406 = 21,934.08 : x
  2. Step 2: Convert to fraction form
    38,700/53,406 = 21,934.08/x
  3. Step 3: Cross multiply
    38,700x = 53,406 × 21,934.08
  4. Step 4: Simplify right side
    38,700x = 1,171,411,476.48
  5. Step 5: Solve for x
    x = 1,171,411,476.48/38,700
  6. Step 6: Final answer
    x = 30,269.03

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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.