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Finding the Fourth Proportional to 21,351.40, 32,032.70 and 8,204.20

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Solution

The fourth proportional to 21,351.40, 32,032.70 and 8,204.20 is: 12,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,351.40 : 32,032.70 = 8,204.20 : x
  2. Step 2: Convert to fraction form
    21,351.40/32,032.70 = 8,204.20/x
  3. Step 3: Cross multiply
    21,351.40x = 32,032.70 × 8,204.20
  4. Step 4: Simplify right side
    21,351.40x = 262,802,677.34
  5. Step 5: Solve for x
    x = 262,802,677.34/21,351.40
  6. Step 6: Final answer
    x = 12,308.45

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1.5x scale

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.