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Finding the Fourth Proportional to 6,939.81, 10,421.19 and 6,589.08

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Solution

The fourth proportional to 6,939.81, 10,421.19 and 6,589.08 is: 9,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.81 : 10,421.19 = 6,589.08 : x
  2. Step 2: Convert to fraction form
    6,939.81/10,421.19 = 6,589.08/x
  3. Step 3: Cross multiply
    6,939.81x = 10,421.19 × 6,589.08
  4. Step 4: Simplify right side
    6,939.81x = 68,666,054.61
  5. Step 5: Solve for x
    x = 68,666,054.61/6,939.81
  6. Step 6: Final answer
    x = 9,894.52

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1.5x scale

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.