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Finding the Fourth Proportional to 14,667.84, 21,987.84 and 5,431.68

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Solution

The fourth proportional to 14,667.84, 21,987.84 and 5,431.68 is: 8,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667.84 : 21,987.84 = 5,431.68 : x
  2. Step 2: Convert to fraction form
    14,667.84/21,987.84 = 5,431.68/x
  3. Step 3: Cross multiply
    14,667.84x = 21,987.84 × 5,431.68
  4. Step 4: Simplify right side
    14,667.84x = 119,430,910.77
  5. Step 5: Solve for x
    x = 119,430,910.77/14,667.84
  6. Step 6: Final answer
    x = 8,142.37

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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.