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Finding the Fourth Proportional to 31,191.60, 46,800.81 and 10,138.10

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Solution

The fourth proportional to 31,191.60, 46,800.81 and 10,138.10 is: 15,211.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191.60 : 46,800.81 = 10,138.10 : x
  2. Step 2: Convert to fraction form
    31,191.60/46,800.81 = 10,138.10/x
  3. Step 3: Cross multiply
    31,191.60x = 46,800.81 × 10,138.10
  4. Step 4: Simplify right side
    31,191.60x = 474,471,291.86
  5. Step 5: Solve for x
    x = 474,471,291.86/31,191.60
  6. Step 6: Final answer
    x = 15,211.51

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1.5x scale

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.