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Finding the Fourth Proportional to 9,199.64, 12,607.04 and 8,313.91

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Solution

The fourth proportional to 9,199.64, 12,607.04 and 8,313.91 is: 11,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.64 : 12,607.04 = 8,313.91 : x
  2. Step 2: Convert to fraction form
    9,199.64/12,607.04 = 8,313.91/x
  3. Step 3: Cross multiply
    9,199.64x = 12,607.04 × 8,313.91
  4. Step 4: Simplify right side
    9,199.64x = 104,813,785.19
  5. Step 5: Solve for x
    x = 104,813,785.19/9,199.64
  6. Step 6: Final answer
    x = 11,393.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.