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Finding the Fourth Proportional to 6,691.30, 9,231.03 and 4,703.16

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Solution

The fourth proportional to 6,691.30, 9,231.03 and 4,703.16 is: 6,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.30 : 9,231.03 = 4,703.16 : x
  2. Step 2: Convert to fraction form
    6,691.30/9,231.03 = 4,703.16/x
  3. Step 3: Cross multiply
    6,691.30x = 9,231.03 × 4,703.16
  4. Step 4: Simplify right side
    6,691.30x = 43,415,011.05
  5. Step 5: Solve for x
    x = 43,415,011.05/6,691.30
  6. Step 6: Final answer
    x = 6,488.28

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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.