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Finding the Fourth Proportional to 38,713, 53,421.06 and 21,945.64

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Solution

The fourth proportional to 38,713, 53,421.06 and 21,945.64 is: 30,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,713 : 53,421.06 = 21,945.64 : x
  2. Step 2: Convert to fraction form
    38,713/53,421.06 = 21,945.64/x
  3. Step 3: Cross multiply
    38,713x = 53,421.06 × 21,945.64
  4. Step 4: Simplify right side
    38,713x = 1,172,359,351.18
  5. Step 5: Solve for x
    x = 1,172,359,351.18/38,713
  6. Step 6: Final answer
    x = 30,283.35

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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.