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Finding the Fourth Proportional to 18,776.32, 28,168.32 and 6,464

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Solution

The fourth proportional to 18,776.32, 28,168.32 and 6,464 is: 9,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,776.32 : 28,168.32 = 6,464 : x
  2. Step 2: Convert to fraction form
    18,776.32/28,168.32 = 6,464/x
  3. Step 3: Cross multiply
    18,776.32x = 28,168.32 × 6,464
  4. Step 4: Simplify right side
    18,776.32x = 182,080,020.48
  5. Step 5: Solve for x
    x = 182,080,020.48/18,776.32
  6. Step 6: Final answer
    x = 9,697.32

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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.