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Finding the Fourth Proportional to 26,670, 40,005.72 and 8,202

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Solution

The fourth proportional to 26,670, 40,005.72 and 8,202 is: 12,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,670 : 40,005.72 = 8,202 : x
  2. Step 2: Convert to fraction form
    26,670/40,005.72 = 8,202/x
  3. Step 3: Cross multiply
    26,670x = 40,005.72 × 8,202
  4. Step 4: Simplify right side
    26,670x = 328,126,915.44
  5. Step 5: Solve for x
    x = 328,126,915.44/26,670
  6. Step 6: Final answer
    x = 12,303.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.