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Finding the Fourth Proportional to 14,427.35, 19,910 and 8,463.32

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Solution

The fourth proportional to 14,427.35, 19,910 and 8,463.32 is: 11,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427.35 : 19,910 = 8,463.32 : x
  2. Step 2: Convert to fraction form
    14,427.35/19,910 = 8,463.32/x
  3. Step 3: Cross multiply
    14,427.35x = 19,910 × 8,463.32
  4. Step 4: Simplify right side
    14,427.35x = 168,504,701.20
  5. Step 5: Solve for x
    x = 168,504,701.20/14,427.35
  6. Step 6: Final answer
    x = 11,679.53

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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.