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Finding the Fourth Proportional to 8,457.78, 11,672.19 and 5,314.98

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Solution

The fourth proportional to 8,457.78, 11,672.19 and 5,314.98 is: 7,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.78 : 11,672.19 = 5,314.98 : x
  2. Step 2: Convert to fraction form
    8,457.78/11,672.19 = 5,314.98/x
  3. Step 3: Cross multiply
    8,457.78x = 11,672.19 × 5,314.98
  4. Step 4: Simplify right side
    8,457.78x = 62,037,456.41
  5. Step 5: Solve for x
    x = 62,037,456.41/8,457.78
  6. Step 6: Final answer
    x = 7,334.96

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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.