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Finding the Fourth Proportional to 10,422.92, 14,297.98 and 9,858

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Solution

The fourth proportional to 10,422.92, 14,297.98 and 9,858 is: 13,523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.92 : 14,297.98 = 9,858 : x
  2. Step 2: Convert to fraction form
    10,422.92/14,297.98 = 9,858/x
  3. Step 3: Cross multiply
    10,422.92x = 14,297.98 × 9,858
  4. Step 4: Simplify right side
    10,422.92x = 140,949,486.84
  5. Step 5: Solve for x
    x = 140,949,486.84/10,422.92
  6. Step 6: Final answer
    x = 13,523.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.