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Finding the Fourth Proportional to 29,314.84, 43,971.90 and 7,128.20

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Solution

The fourth proportional to 29,314.84, 43,971.90 and 7,128.20 is: 10,692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,314.84 : 43,971.90 = 7,128.20 : x
  2. Step 2: Convert to fraction form
    29,314.84/43,971.90 = 7,128.20/x
  3. Step 3: Cross multiply
    29,314.84x = 43,971.90 × 7,128.20
  4. Step 4: Simplify right side
    29,314.84x = 313,440,497.58
  5. Step 5: Solve for x
    x = 313,440,497.58/29,314.84
  6. Step 6: Final answer
    x = 10,692.21

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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.