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Finding the Fourth Proportional to 14,445, 21,667.59 and 5,211

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Solution

The fourth proportional to 14,445, 21,667.59 and 5,211 is: 7,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,445 : 21,667.59 = 5,211 : x
  2. Step 2: Convert to fraction form
    14,445/21,667.59 = 5,211/x
  3. Step 3: Cross multiply
    14,445x = 21,667.59 × 5,211
  4. Step 4: Simplify right side
    14,445x = 112,909,811.49
  5. Step 5: Solve for x
    x = 112,909,811.49/14,445
  6. Step 6: Final answer
    x = 7,816.53

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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.