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Finding the Fourth Proportional to 21,705.34, 32,558.28 and 6,914.20

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Solution

The fourth proportional to 21,705.34, 32,558.28 and 6,914.20 is: 10,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.34 : 32,558.28 = 6,914.20 : x
  2. Step 2: Convert to fraction form
    21,705.34/32,558.28 = 6,914.20/x
  3. Step 3: Cross multiply
    21,705.34x = 32,558.28 × 6,914.20
  4. Step 4: Simplify right side
    21,705.34x = 225,114,459.58
  5. Step 5: Solve for x
    x = 225,114,459.58/21,705.34
  6. Step 6: Final answer
    x = 10,371.39

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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.