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Finding the Fourth Proportional to 29,130.75, 43,696.13 and 7,242.75

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Solution

The fourth proportional to 29,130.75, 43,696.13 and 7,242.75 is: 10,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,130.75 : 43,696.13 = 7,242.75 : x
  2. Step 2: Convert to fraction form
    29,130.75/43,696.13 = 7,242.75/x
  3. Step 3: Cross multiply
    29,130.75x = 43,696.13 × 7,242.75
  4. Step 4: Simplify right side
    29,130.75x = 316,480,109.34
  5. Step 5: Solve for x
    x = 316,480,109.34/29,130.75
  6. Step 6: Final answer
    x = 10,864.13

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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.