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Finding the Fourth Proportional to 27,734.40, 38,270.88 and 15,800.40

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Solution

The fourth proportional to 27,734.40, 38,270.88 and 15,800.40 is: 21,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,734.40 : 38,270.88 = 15,800.40 : x
  2. Step 2: Convert to fraction form
    27,734.40/38,270.88 = 15,800.40/x
  3. Step 3: Cross multiply
    27,734.40x = 38,270.88 × 15,800.40
  4. Step 4: Simplify right side
    27,734.40x = 604,695,212.35
  5. Step 5: Solve for x
    x = 604,695,212.35/27,734.40
  6. Step 6: Final answer
    x = 21,803.08

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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.