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Finding the Fourth Proportional to 21,320.10, 31,978.98 and 6,529.14

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Solution

The fourth proportional to 21,320.10, 31,978.98 and 6,529.14 is: 9,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,320.10 : 31,978.98 = 6,529.14 : x
  2. Step 2: Convert to fraction form
    21,320.10/31,978.98 = 6,529.14/x
  3. Step 3: Cross multiply
    21,320.10x = 31,978.98 × 6,529.14
  4. Step 4: Simplify right side
    21,320.10x = 208,795,237.48
  5. Step 5: Solve for x
    x = 208,795,237.48/21,320.10
  6. Step 6: Final answer
    x = 9,793.35

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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.