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Finding the Fourth Proportional to 21,356.60, 32,031.60 and 7,313.40

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Solution

The fourth proportional to 21,356.60, 32,031.60 and 7,313.40 is: 10,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,356.60 : 32,031.60 = 7,313.40 : x
  2. Step 2: Convert to fraction form
    21,356.60/32,031.60 = 7,313.40/x
  3. Step 3: Cross multiply
    21,356.60x = 32,031.60 × 7,313.40
  4. Step 4: Simplify right side
    21,356.60x = 234,259,903.44
  5. Step 5: Solve for x
    x = 234,259,903.44/21,356.60
  6. Step 6: Final answer
    x = 10,968.97

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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.