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Finding the Fourth Proportional to 27,776, 38,330.88 and 15,200.76

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Solution

The fourth proportional to 27,776, 38,330.88 and 15,200.76 is: 20,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776 : 38,330.88 = 15,200.76 : x
  2. Step 2: Convert to fraction form
    27,776/38,330.88 = 15,200.76/x
  3. Step 3: Cross multiply
    27,776x = 38,330.88 × 15,200.76
  4. Step 4: Simplify right side
    27,776x = 582,658,507.47
  5. Step 5: Solve for x
    x = 582,658,507.47/27,776
  6. Step 6: Final answer
    x = 20,977.05

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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.