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Finding the Fourth Proportional to 29,130.84, 43,696.08 and 8,354.40

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Solution

The fourth proportional to 29,130.84, 43,696.08 and 8,354.40 is: 12,531.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,130.84 : 43,696.08 = 8,354.40 : x
  2. Step 2: Convert to fraction form
    29,130.84/43,696.08 = 8,354.40/x
  3. Step 3: Cross multiply
    29,130.84x = 43,696.08 × 8,354.40
  4. Step 4: Simplify right side
    29,130.84x = 365,054,530.75
  5. Step 5: Solve for x
    x = 365,054,530.75/29,130.84
  6. Step 6: Final answer
    x = 12,531.55

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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.