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Finding the Fourth Proportional to 8,230.66, 12,328.16 and 5,111.41

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Solution

The fourth proportional to 8,230.66, 12,328.16 and 5,111.41 is: 7,656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.66 : 12,328.16 = 5,111.41 : x
  2. Step 2: Convert to fraction form
    8,230.66/12,328.16 = 5,111.41/x
  3. Step 3: Cross multiply
    8,230.66x = 12,328.16 × 5,111.41
  4. Step 4: Simplify right side
    8,230.66x = 63,014,280.31
  5. Step 5: Solve for x
    x = 63,014,280.31/8,230.66
  6. Step 6: Final answer
    x = 7,656.04

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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.