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Finding the Fourth Proportional to 14,109.12, 21,168 and 7,188.48

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Solution

The fourth proportional to 14,109.12, 21,168 and 7,188.48 is: 10,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.12 : 21,168 = 7,188.48 : x
  2. Step 2: Convert to fraction form
    14,109.12/21,168 = 7,188.48/x
  3. Step 3: Cross multiply
    14,109.12x = 21,168 × 7,188.48
  4. Step 4: Simplify right side
    14,109.12x = 152,165,744.64
  5. Step 5: Solve for x
    x = 152,165,744.64/14,109.12
  6. Step 6: Final answer
    x = 10,784.92

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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.