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Finding the Fourth Proportional to 31,474.78, 47,219.96 and 9,288.07

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Solution

The fourth proportional to 31,474.78, 47,219.96 and 9,288.07 is: 13,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,474.78 : 47,219.96 = 9,288.07 : x
  2. Step 2: Convert to fraction form
    31,474.78/47,219.96 = 9,288.07/x
  3. Step 3: Cross multiply
    31,474.78x = 47,219.96 × 9,288.07
  4. Step 4: Simplify right side
    31,474.78x = 438,582,199.05
  5. Step 5: Solve for x
    x = 438,582,199.05/31,474.78
  6. Step 6: Final answer
    x = 13,934.40

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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.