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Finding the Fourth Proportional to 8,312.86, 11,471.43 and 4,586.86

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Solution

The fourth proportional to 8,312.86, 11,471.43 and 4,586.86 is: 6,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.86 : 11,471.43 = 4,586.86 : x
  2. Step 2: Convert to fraction form
    8,312.86/11,471.43 = 4,586.86/x
  3. Step 3: Cross multiply
    8,312.86x = 11,471.43 × 4,586.86
  4. Step 4: Simplify right side
    8,312.86x = 52,617,843.41
  5. Step 5: Solve for x
    x = 52,617,843.41/8,312.86
  6. Step 6: Final answer
    x = 6,329.69

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1.5x scale

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.