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Finding the Fourth Proportional to 21,135.60, 31,705.02 and 6,343.44

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Solution

The fourth proportional to 21,135.60, 31,705.02 and 6,343.44 is: 9,515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,135.60 : 31,705.02 = 6,343.44 : x
  2. Step 2: Convert to fraction form
    21,135.60/31,705.02 = 6,343.44/x
  3. Step 3: Cross multiply
    21,135.60x = 31,705.02 × 6,343.44
  4. Step 4: Simplify right side
    21,135.60x = 201,118,892.07
  5. Step 5: Solve for x
    x = 201,118,892.07/21,135.60
  6. Step 6: Final answer
    x = 9,515.65

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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.