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Finding the Fourth Proportional to 15,500.78, 21,390.17 and 8,427.14

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Solution

The fourth proportional to 15,500.78, 21,390.17 and 8,427.14 is: 11,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,500.78 : 21,390.17 = 8,427.14 : x
  2. Step 2: Convert to fraction form
    15,500.78/21,390.17 = 8,427.14/x
  3. Step 3: Cross multiply
    15,500.78x = 21,390.17 × 8,427.14
  4. Step 4: Simplify right side
    15,500.78x = 180,258,031.76
  5. Step 5: Solve for x
    x = 180,258,031.76/15,500.78
  6. Step 6: Final answer
    x = 11,628.96

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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.