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Finding the Fourth Proportional to 9,805.81, 14,708.03 and 5,642.74

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Solution

The fourth proportional to 9,805.81, 14,708.03 and 5,642.74 is: 8,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.81 : 14,708.03 = 5,642.74 : x
  2. Step 2: Convert to fraction form
    9,805.81/14,708.03 = 5,642.74/x
  3. Step 3: Cross multiply
    9,805.81x = 14,708.03 × 5,642.74
  4. Step 4: Simplify right side
    9,805.81x = 82,993,589.20
  5. Step 5: Solve for x
    x = 82,993,589.20/9,805.81
  6. Step 6: Final answer
    x = 8,463.72

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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.