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Finding the Fourth Proportional to 31,988.10, 47,989.02 and 9,803

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Solution

The fourth proportional to 31,988.10, 47,989.02 and 9,803 is: 14,706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,988.10 : 47,989.02 = 9,803 : x
  2. Step 2: Convert to fraction form
    31,988.10/47,989.02 = 9,803/x
  3. Step 3: Cross multiply
    31,988.10x = 47,989.02 × 9,803
  4. Step 4: Simplify right side
    31,988.10x = 470,436,363.06
  5. Step 5: Solve for x
    x = 470,436,363.06/31,988.10
  6. Step 6: Final answer
    x = 14,706.61

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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.