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Finding the Fourth Proportional to 11,358.64, 15,662.10 and 8,000.32

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Solution

The fourth proportional to 11,358.64, 15,662.10 and 8,000.32 is: 11,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.64 : 15,662.10 = 8,000.32 : x
  2. Step 2: Convert to fraction form
    11,358.64/15,662.10 = 8,000.32/x
  3. Step 3: Cross multiply
    11,358.64x = 15,662.10 × 8,000.32
  4. Step 4: Simplify right side
    11,358.64x = 125,301,811.87
  5. Step 5: Solve for x
    x = 125,301,811.87/11,358.64
  6. Step 6: Final answer
    x = 11,031.41

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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.