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Finding the Fourth Proportional to 7,812.64, 11,719.08 and 3,133.06

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Solution

The fourth proportional to 7,812.64, 11,719.08 and 3,133.06 is: 4,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.64 : 11,719.08 = 3,133.06 : x
  2. Step 2: Convert to fraction form
    7,812.64/11,719.08 = 3,133.06/x
  3. Step 3: Cross multiply
    7,812.64x = 11,719.08 × 3,133.06
  4. Step 4: Simplify right side
    7,812.64x = 36,716,580.78
  5. Step 5: Solve for x
    x = 36,716,580.78/7,812.64
  6. Step 6: Final answer
    x = 4,699.64

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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.