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Finding the Fourth Proportional to 29,314.74, 43,971.69 and 7,128.06

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Solution

The fourth proportional to 29,314.74, 43,971.69 and 7,128.06 is: 10,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,314.74 : 43,971.69 = 7,128.06 : x
  2. Step 2: Convert to fraction form
    29,314.74/43,971.69 = 7,128.06/x
  3. Step 3: Cross multiply
    29,314.74x = 43,971.69 × 7,128.06
  4. Step 4: Simplify right side
    29,314.74x = 313,432,844.62
  5. Step 5: Solve for x
    x = 313,432,844.62/29,314.74
  6. Step 6: Final answer
    x = 10,691.99

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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.