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Finding the Fourth Proportional to 14,900, 20,600.40 and 14,247.20

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Solution

The fourth proportional to 14,900, 20,600.40 and 14,247.20 is: 19,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900 : 20,600.40 = 14,247.20 : x
  2. Step 2: Convert to fraction form
    14,900/20,600.40 = 14,247.20/x
  3. Step 3: Cross multiply
    14,900x = 20,600.40 × 14,247.20
  4. Step 4: Simplify right side
    14,900x = 293,498,018.88
  5. Step 5: Solve for x
    x = 293,498,018.88/14,900
  6. Step 6: Final answer
    x = 19,697.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.