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Finding the Fourth Proportional to 27,840.80, 41,759.28 and 13,053

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Solution

The fourth proportional to 27,840.80, 41,759.28 and 13,053 is: 19,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840.80 : 41,759.28 = 13,053 : x
  2. Step 2: Convert to fraction form
    27,840.80/41,759.28 = 13,053/x
  3. Step 3: Cross multiply
    27,840.80x = 41,759.28 × 13,053
  4. Step 4: Simplify right side
    27,840.80x = 545,083,881.84
  5. Step 5: Solve for x
    x = 545,083,881.84/27,840.80
  6. Step 6: Final answer
    x = 19,578.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.