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Finding the Fourth Proportional to 9,834, 14,754.36 and 3,989.52

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Solution

The fourth proportional to 9,834, 14,754.36 and 3,989.52 is: 5,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834 : 14,754.36 = 3,989.52 : x
  2. Step 2: Convert to fraction form
    9,834/14,754.36 = 3,989.52/x
  3. Step 3: Cross multiply
    9,834x = 14,754.36 × 3,989.52
  4. Step 4: Simplify right side
    9,834x = 58,862,814.31
  5. Step 5: Solve for x
    x = 58,862,814.31/9,834
  6. Step 6: Final answer
    x = 5,985.64

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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.