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Finding the Fourth Proportional to 9,891.70, 14,846.82 and 5,215.18

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Solution

The fourth proportional to 9,891.70, 14,846.82 and 5,215.18 is: 7,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.70 : 14,846.82 = 5,215.18 : x
  2. Step 2: Convert to fraction form
    9,891.70/14,846.82 = 5,215.18/x
  3. Step 3: Cross multiply
    9,891.70x = 14,846.82 × 5,215.18
  4. Step 4: Simplify right side
    9,891.70x = 77,428,838.73
  5. Step 5: Solve for x
    x = 77,428,838.73/9,891.70
  6. Step 6: Final answer
    x = 7,827.66

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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.