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Finding the Fourth Proportional to 31,868.78, 47,803.16 and 9,682.08

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Solution

The fourth proportional to 31,868.78, 47,803.16 and 9,682.08 is: 14,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,868.78 : 47,803.16 = 9,682.08 : x
  2. Step 2: Convert to fraction form
    31,868.78/47,803.16 = 9,682.08/x
  3. Step 3: Cross multiply
    31,868.78x = 47,803.16 × 9,682.08
  4. Step 4: Simplify right side
    31,868.78x = 462,834,019.37
  5. Step 5: Solve for x
    x = 462,834,019.37/31,868.78
  6. Step 6: Final answer
    x = 14,523.12

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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.