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Finding the Fourth Proportional to 9,859, 14,781.21 and 5,962.54

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Solution

The fourth proportional to 9,859, 14,781.21 and 5,962.54 is: 8,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859 : 14,781.21 = 5,962.54 : x
  2. Step 2: Convert to fraction form
    9,859/14,781.21 = 5,962.54/x
  3. Step 3: Cross multiply
    9,859x = 14,781.21 × 5,962.54
  4. Step 4: Simplify right side
    9,859x = 88,133,555.87
  5. Step 5: Solve for x
    x = 88,133,555.87/9,859
  6. Step 6: Final answer
    x = 8,939.40

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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.