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Finding the Fourth Proportional to 11,138.42, 15,369 and 6,358.34

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Solution

The fourth proportional to 11,138.42, 15,369 and 6,358.34 is: 8,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.42 : 15,369 = 6,358.34 : x
  2. Step 2: Convert to fraction form
    11,138.42/15,369 = 6,358.34/x
  3. Step 3: Cross multiply
    11,138.42x = 15,369 × 6,358.34
  4. Step 4: Simplify right side
    11,138.42x = 97,721,327.46
  5. Step 5: Solve for x
    x = 97,721,327.46/11,138.42
  6. Step 6: Final answer
    x = 8,773.36

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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.