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Finding the Fourth Proportional to 9,103.80, 12,537.90 and 8,435.64

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Solution

The fourth proportional to 9,103.80, 12,537.90 and 8,435.64 is: 11,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.80 : 12,537.90 = 8,435.64 : x
  2. Step 2: Convert to fraction form
    9,103.80/12,537.90 = 8,435.64/x
  3. Step 3: Cross multiply
    9,103.80x = 12,537.90 × 8,435.64
  4. Step 4: Simplify right side
    9,103.80x = 105,765,210.76
  5. Step 5: Solve for x
    x = 105,765,210.76/9,103.80
  6. Step 6: Final answer
    x = 11,617.70

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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.