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Finding the Fourth Proportional to 6,885, 9,501.30 and 4,090.50

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Solution

The fourth proportional to 6,885, 9,501.30 and 4,090.50 is: 5,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885 : 9,501.30 = 4,090.50 : x
  2. Step 2: Convert to fraction form
    6,885/9,501.30 = 4,090.50/x
  3. Step 3: Cross multiply
    6,885x = 9,501.30 × 4,090.50
  4. Step 4: Simplify right side
    6,885x = 38,865,067.65
  5. Step 5: Solve for x
    x = 38,865,067.65/6,885
  6. Step 6: Final answer
    x = 5,644.89

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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.