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Finding the Fourth Proportional to 7,875.72, 11,817.72 and 3,496.32

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Solution

The fourth proportional to 7,875.72, 11,817.72 and 3,496.32 is: 5,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.72 : 11,817.72 = 3,496.32 : x
  2. Step 2: Convert to fraction form
    7,875.72/11,817.72 = 3,496.32/x
  3. Step 3: Cross multiply
    7,875.72x = 11,817.72 × 3,496.32
  4. Step 4: Simplify right side
    7,875.72x = 41,318,530.79
  5. Step 5: Solve for x
    x = 41,318,530.79/7,875.72
  6. Step 6: Final answer
    x = 5,246.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.