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Finding the Fourth Proportional to 27,071, 37,368.16 and 20,376

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Solution

The fourth proportional to 27,071, 37,368.16 and 20,376 is: 28,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,071 : 37,368.16 = 20,376 : x
  2. Step 2: Convert to fraction form
    27,071/37,368.16 = 20,376/x
  3. Step 3: Cross multiply
    27,071x = 37,368.16 × 20,376
  4. Step 4: Simplify right side
    27,071x = 761,413,628.16
  5. Step 5: Solve for x
    x = 761,413,628.16/27,071
  6. Step 6: Final answer
    x = 28,126.54

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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.