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Finding the Fourth Proportional to 9,891.45, 14,846.45 and 5,214.92

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Solution

The fourth proportional to 9,891.45, 14,846.45 and 5,214.92 is: 7,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.45 : 14,846.45 = 5,214.92 : x
  2. Step 2: Convert to fraction form
    9,891.45/14,846.45 = 5,214.92/x
  3. Step 3: Cross multiply
    9,891.45x = 14,846.45 × 5,214.92
  4. Step 4: Simplify right side
    9,891.45x = 77,422,948.73
  5. Step 5: Solve for x
    x = 77,422,948.73/9,891.45
  6. Step 6: Final answer
    x = 7,827.26

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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.