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Finding the Fourth Proportional to 6,914.64, 10,387.64 and 4,000.08

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Solution

The fourth proportional to 6,914.64, 10,387.64 and 4,000.08 is: 6,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.64 : 10,387.64 = 4,000.08 : x
  2. Step 2: Convert to fraction form
    6,914.64/10,387.64 = 4,000.08/x
  3. Step 3: Cross multiply
    6,914.64x = 10,387.64 × 4,000.08
  4. Step 4: Simplify right side
    6,914.64x = 41,551,391.01
  5. Step 5: Solve for x
    x = 41,551,391.01/6,914.64
  6. Step 6: Final answer
    x = 6,009.19

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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.