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Finding the Fourth Proportional to 9,805.70, 14,682.36 and 5,178.98

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Solution

The fourth proportional to 9,805.70, 14,682.36 and 5,178.98 is: 7,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.70 : 14,682.36 = 5,178.98 : x
  2. Step 2: Convert to fraction form
    9,805.70/14,682.36 = 5,178.98/x
  3. Step 3: Cross multiply
    9,805.70x = 14,682.36 × 5,178.98
  4. Step 4: Simplify right side
    9,805.70x = 76,039,648.79
  5. Step 5: Solve for x
    x = 76,039,648.79/9,805.70
  6. Step 6: Final answer
    x = 7,754.64

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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.