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Finding the Fourth Proportional to 11,072.40, 15,282 and 6,359.76

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Solution

The fourth proportional to 11,072.40, 15,282 and 6,359.76 is: 8,777.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072.40 : 15,282 = 6,359.76 : x
  2. Step 2: Convert to fraction form
    11,072.40/15,282 = 6,359.76/x
  3. Step 3: Cross multiply
    11,072.40x = 15,282 × 6,359.76
  4. Step 4: Simplify right side
    11,072.40x = 97,189,852.32
  5. Step 5: Solve for x
    x = 97,189,852.32/11,072.40
  6. Step 6: Final answer
    x = 8,777.67

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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.