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Finding the Fourth Proportional to 7,384.32, 11,064 and 4,781.88

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Solution

The fourth proportional to 7,384.32, 11,064 and 4,781.88 is: 7,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.32 : 11,064 = 4,781.88 : x
  2. Step 2: Convert to fraction form
    7,384.32/11,064 = 4,781.88/x
  3. Step 3: Cross multiply
    7,384.32x = 11,064 × 4,781.88
  4. Step 4: Simplify right side
    7,384.32x = 52,906,720.32
  5. Step 5: Solve for x
    x = 52,906,720.32/7,384.32
  6. Step 6: Final answer
    x = 7,164.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.