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Finding the Fourth Proportional to 9,891.57, 14,800.85 and 5,945.22

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Solution

The fourth proportional to 9,891.57, 14,800.85 and 5,945.22 is: 8,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.57 : 14,800.85 = 5,945.22 : x
  2. Step 2: Convert to fraction form
    9,891.57/14,800.85 = 5,945.22/x
  3. Step 3: Cross multiply
    9,891.57x = 14,800.85 × 5,945.22
  4. Step 4: Simplify right side
    9,891.57x = 87,994,279.71
  5. Step 5: Solve for x
    x = 87,994,279.71/9,891.57
  6. Step 6: Final answer
    x = 8,895.89

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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.