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Finding the Fourth Proportional to 27,783, 38,340.54 and 15,207.75

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Solution

The fourth proportional to 27,783, 38,340.54 and 15,207.75 is: 20,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783 : 38,340.54 = 15,207.75 : x
  2. Step 2: Convert to fraction form
    27,783/38,340.54 = 15,207.75/x
  3. Step 3: Cross multiply
    27,783x = 38,340.54 × 15,207.75
  4. Step 4: Simplify right side
    27,783x = 583,073,347.19
  5. Step 5: Solve for x
    x = 583,073,347.19/27,783
  6. Step 6: Final answer
    x = 20,986.70

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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.