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Finding the Fourth Proportional to 31,604.64, 47,369.16 and 14,054.64

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Solution

The fourth proportional to 31,604.64, 47,369.16 and 14,054.64 is: 21,065.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.64 : 47,369.16 = 14,054.64 : x
  2. Step 2: Convert to fraction form
    31,604.64/47,369.16 = 14,054.64/x
  3. Step 3: Cross multiply
    31,604.64x = 47,369.16 × 14,054.64
  4. Step 4: Simplify right side
    31,604.64x = 665,756,490.90
  5. Step 5: Solve for x
    x = 665,756,490.90/31,604.64
  6. Step 6: Final answer
    x = 21,065.15

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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.