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Finding the Fourth Proportional to 14,305.12, 21,462 and 9,643.84

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Solution

The fourth proportional to 14,305.12, 21,462 and 9,643.84 is: 14,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.12 : 21,462 = 9,643.84 : x
  2. Step 2: Convert to fraction form
    14,305.12/21,462 = 9,643.84/x
  3. Step 3: Cross multiply
    14,305.12x = 21,462 × 9,643.84
  4. Step 4: Simplify right side
    14,305.12x = 206,976,094.08
  5. Step 5: Solve for x
    x = 206,976,094.08/14,305.12
  6. Step 6: Final answer
    x = 14,468.67

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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.