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Finding the Fourth Proportional to 27,109, 37,410.45 and 15,175.18

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Solution

The fourth proportional to 27,109, 37,410.45 and 15,175.18 is: 20,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109 : 37,410.45 = 15,175.18 : x
  2. Step 2: Convert to fraction form
    27,109/37,410.45 = 15,175.18/x
  3. Step 3: Cross multiply
    27,109x = 37,410.45 × 15,175.18
  4. Step 4: Simplify right side
    27,109x = 567,710,312.63
  5. Step 5: Solve for x
    x = 567,710,312.63/27,109
  6. Step 6: Final answer
    x = 20,941.77

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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.