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Finding the Fourth Proportional to 8,312.65, 11,469.40 and 5,081.64

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Solution

The fourth proportional to 8,312.65, 11,469.40 and 5,081.64 is: 7,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.65 : 11,469.40 = 5,081.64 : x
  2. Step 2: Convert to fraction form
    8,312.65/11,469.40 = 5,081.64/x
  3. Step 3: Cross multiply
    8,312.65x = 11,469.40 × 5,081.64
  4. Step 4: Simplify right side
    8,312.65x = 58,283,361.82
  5. Step 5: Solve for x
    x = 58,283,361.82/8,312.65
  6. Step 6: Final answer
    x = 7,011.41

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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.