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Finding the Fourth Proportional to 21,670.86, 32,506.82 and 6,678.30

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Solution

The fourth proportional to 21,670.86, 32,506.82 and 6,678.30 is: 10,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,670.86 : 32,506.82 = 6,678.30 : x
  2. Step 2: Convert to fraction form
    21,670.86/32,506.82 = 6,678.30/x
  3. Step 3: Cross multiply
    21,670.86x = 32,506.82 × 6,678.30
  4. Step 4: Simplify right side
    21,670.86x = 217,090,296.01
  5. Step 5: Solve for x
    x = 217,090,296.01/21,670.86
  6. Step 6: Final answer
    x = 10,017.61

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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.