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Finding the Fourth Proportional to 11,785.73, 16,264.19 and 8,774.32

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Solution

The fourth proportional to 11,785.73, 16,264.19 and 8,774.32 is: 12,108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.73 : 16,264.19 = 8,774.32 : x
  2. Step 2: Convert to fraction form
    11,785.73/16,264.19 = 8,774.32/x
  3. Step 3: Cross multiply
    11,785.73x = 16,264.19 × 8,774.32
  4. Step 4: Simplify right side
    11,785.73x = 142,707,082.41
  5. Step 5: Solve for x
    x = 142,707,082.41/11,785.73
  6. Step 6: Final answer
    x = 12,108.46

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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.