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Finding the Fourth Proportional to 21,303.68, 31,954.82 and 6,512

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Solution

The fourth proportional to 21,303.68, 31,954.82 and 6,512 is: 9,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,303.68 : 31,954.82 = 6,512 : x
  2. Step 2: Convert to fraction form
    21,303.68/31,954.82 = 6,512/x
  3. Step 3: Cross multiply
    21,303.68x = 31,954.82 × 6,512
  4. Step 4: Simplify right side
    21,303.68x = 208,089,787.84
  5. Step 5: Solve for x
    x = 208,089,787.84/21,303.68
  6. Step 6: Final answer
    x = 9,767.79

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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.