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Finding the Fourth Proportional to 31,830.60, 47,745.90 and 11,054.10

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Solution

The fourth proportional to 31,830.60, 47,745.90 and 11,054.10 is: 16,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,830.60 : 47,745.90 = 11,054.10 : x
  2. Step 2: Convert to fraction form
    31,830.60/47,745.90 = 11,054.10/x
  3. Step 3: Cross multiply
    31,830.60x = 47,745.90 × 11,054.10
  4. Step 4: Simplify right side
    31,830.60x = 527,787,953.19
  5. Step 5: Solve for x
    x = 527,787,953.19/31,830.60
  6. Step 6: Final answer
    x = 16,581.15

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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.