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Finding the Fourth Proportional to 27,079, 37,368.70 and 15,142.23

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Solution

The fourth proportional to 27,079, 37,368.70 and 15,142.23 is: 20,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,079 : 37,368.70 = 15,142.23 : x
  2. Step 2: Convert to fraction form
    27,079/37,368.70 = 15,142.23/x
  3. Step 3: Cross multiply
    27,079x = 37,368.70 × 15,142.23
  4. Step 4: Simplify right side
    27,079x = 565,845,450.20
  5. Step 5: Solve for x
    x = 565,845,450.20/27,079
  6. Step 6: Final answer
    x = 20,896.10

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1.5x scale

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.