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Finding the Fourth Proportional to 31,803, 47,704.50 and 9,915

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Solution

The fourth proportional to 31,803, 47,704.50 and 9,915 is: 14,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803 : 47,704.50 = 9,915 : x
  2. Step 2: Convert to fraction form
    31,803/47,704.50 = 9,915/x
  3. Step 3: Cross multiply
    31,803x = 47,704.50 × 9,915
  4. Step 4: Simplify right side
    31,803x = 472,990,117.50
  5. Step 5: Solve for x
    x = 472,990,117.50/31,803
  6. Step 6: Final answer
    x = 14,872.50

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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.