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Finding the Fourth Proportional to 8,709.30, 12,012.30 and 6,156

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Solution

The fourth proportional to 8,709.30, 12,012.30 and 6,156 is: 8,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.30 : 12,012.30 = 6,156 : x
  2. Step 2: Convert to fraction form
    8,709.30/12,012.30 = 6,156/x
  3. Step 3: Cross multiply
    8,709.30x = 12,012.30 × 6,156
  4. Step 4: Simplify right side
    8,709.30x = 73,947,718.80
  5. Step 5: Solve for x
    x = 73,947,718.80/8,709.30
  6. Step 6: Final answer
    x = 8,490.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.