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Finding the Fourth Proportional to 27,783.76, 38,341 and 15,208.40

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Solution

The fourth proportional to 27,783.76, 38,341 and 15,208.40 is: 20,987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.76 : 38,341 = 15,208.40 : x
  2. Step 2: Convert to fraction form
    27,783.76/38,341 = 15,208.40/x
  3. Step 3: Cross multiply
    27,783.76x = 38,341 × 15,208.40
  4. Step 4: Simplify right side
    27,783.76x = 583,105,264.40
  5. Step 5: Solve for x
    x = 583,105,264.40/27,783.76
  6. Step 6: Final answer
    x = 20,987.27

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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.