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Finding the Fourth Proportional to 27,706, 38,234.49 and 15,130.75

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Solution

The fourth proportional to 27,706, 38,234.49 and 15,130.75 is: 20,880.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706 : 38,234.49 = 15,130.75 : x
  2. Step 2: Convert to fraction form
    27,706/38,234.49 = 15,130.75/x
  3. Step 3: Cross multiply
    27,706x = 38,234.49 × 15,130.75
  4. Step 4: Simplify right side
    27,706x = 578,516,509.57
  5. Step 5: Solve for x
    x = 578,516,509.57/27,706
  6. Step 6: Final answer
    x = 20,880.55

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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.