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Finding the Fourth Proportional to 27,130.41, 40,706.33 and 8,411.92

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Solution

The fourth proportional to 27,130.41, 40,706.33 and 8,411.92 is: 12,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,130.41 : 40,706.33 = 8,411.92 : x
  2. Step 2: Convert to fraction form
    27,130.41/40,706.33 = 8,411.92/x
  3. Step 3: Cross multiply
    27,130.41x = 40,706.33 × 8,411.92
  4. Step 4: Simplify right side
    27,130.41x = 342,418,391.45
  5. Step 5: Solve for x
    x = 342,418,391.45/27,130.41
  6. Step 6: Final answer
    x = 12,621.20

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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.