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Finding the Fourth Proportional to 27,140, 37,453.20 and 15,364

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Solution

The fourth proportional to 27,140, 37,453.20 and 15,364 is: 21,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,140 : 37,453.20 = 15,364 : x
  2. Step 2: Convert to fraction form
    27,140/37,453.20 = 15,364/x
  3. Step 3: Cross multiply
    27,140x = 37,453.20 × 15,364
  4. Step 4: Simplify right side
    27,140x = 575,430,964.80
  5. Step 5: Solve for x
    x = 575,430,964.80/27,140
  6. Step 6: Final answer
    x = 21,202.32

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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.