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Finding the Fourth Proportional to 31,410.70, 47,101.20 and 18,267.10

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Solution

The fourth proportional to 31,410.70, 47,101.20 and 18,267.10 is: 27,392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,410.70 : 47,101.20 = 18,267.10 : x
  2. Step 2: Convert to fraction form
    31,410.70/47,101.20 = 18,267.10/x
  3. Step 3: Cross multiply
    31,410.70x = 47,101.20 × 18,267.10
  4. Step 4: Simplify right side
    31,410.70x = 860,402,330.52
  5. Step 5: Solve for x
    x = 860,402,330.52/31,410.70
  6. Step 6: Final answer
    x = 27,392.01

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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.