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Finding the Fourth Proportional to 9,863.63, 13,612.21 and 5,671.88

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Solution

The fourth proportional to 9,863.63, 13,612.21 and 5,671.88 is: 7,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.63 : 13,612.21 = 5,671.88 : x
  2. Step 2: Convert to fraction form
    9,863.63/13,612.21 = 5,671.88/x
  3. Step 3: Cross multiply
    9,863.63x = 13,612.21 × 5,671.88
  4. Step 4: Simplify right side
    9,863.63x = 77,206,739.41
  5. Step 5: Solve for x
    x = 77,206,739.41/9,863.63
  6. Step 6: Final answer
    x = 7,827.42

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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.