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Finding the Fourth Proportional to 31,372.66, 47,054.11 and 10,312.56

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Solution

The fourth proportional to 31,372.66, 47,054.11 and 10,312.56 is: 15,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,372.66 : 47,054.11 = 10,312.56 : x
  2. Step 2: Convert to fraction form
    31,372.66/47,054.11 = 10,312.56/x
  3. Step 3: Cross multiply
    31,372.66x = 47,054.11 × 10,312.56
  4. Step 4: Simplify right side
    31,372.66x = 485,248,257.29
  5. Step 5: Solve for x
    x = 485,248,257.29/31,372.66
  6. Step 6: Final answer
    x = 15,467.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.