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Finding the Fourth Proportional to 14,247.42, 21,378.42 and 6,455.22

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Solution

The fourth proportional to 14,247.42, 21,378.42 and 6,455.22 is: 9,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,247.42 : 21,378.42 = 6,455.22 : x
  2. Step 2: Convert to fraction form
    14,247.42/21,378.42 = 6,455.22/x
  3. Step 3: Cross multiply
    14,247.42x = 21,378.42 × 6,455.22
  4. Step 4: Simplify right side
    14,247.42x = 138,002,404.35
  5. Step 5: Solve for x
    x = 138,002,404.35/14,247.42
  6. Step 6: Final answer
    x = 9,686.13

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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.