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Finding the Fourth Proportional to 21,461.90, 32,193 and 6,670.49

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Solution

The fourth proportional to 21,461.90, 32,193 and 6,670.49 is: 10,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.90 : 32,193 = 6,670.49 : x
  2. Step 2: Convert to fraction form
    21,461.90/32,193 = 6,670.49/x
  3. Step 3: Cross multiply
    21,461.90x = 32,193 × 6,670.49
  4. Step 4: Simplify right side
    21,461.90x = 214,742,923.61
  5. Step 5: Solve for x
    x = 214,742,923.61/21,461.90
  6. Step 6: Final answer
    x = 10,005.78

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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.