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Finding the Fourth Proportional to 27,546, 38,013.20 and 14,970.80

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Solution

The fourth proportional to 27,546, 38,013.20 and 14,970.80 is: 20,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546 : 38,013.20 = 14,970.80 : x
  2. Step 2: Convert to fraction form
    27,546/38,013.20 = 14,970.80/x
  3. Step 3: Cross multiply
    27,546x = 38,013.20 × 14,970.80
  4. Step 4: Simplify right side
    27,546x = 569,088,014.56
  5. Step 5: Solve for x
    x = 569,088,014.56/27,546
  6. Step 6: Final answer
    x = 20,659.55

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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.