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Finding the Fourth Proportional to 14,217, 21,325.82 and 6,420.52

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Solution

The fourth proportional to 14,217, 21,325.82 and 6,420.52 is: 9,630.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,217 : 21,325.82 = 6,420.52 : x
  2. Step 2: Convert to fraction form
    14,217/21,325.82 = 6,420.52/x
  3. Step 3: Cross multiply
    14,217x = 21,325.82 × 6,420.52
  4. Step 4: Simplify right side
    14,217x = 136,922,853.83
  5. Step 5: Solve for x
    x = 136,922,853.83/14,217
  6. Step 6: Final answer
    x = 9,630.92

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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.