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Finding the Fourth Proportional to 13,255.80, 19,848.14 and 7,002.80

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Solution

The fourth proportional to 13,255.80, 19,848.14 and 7,002.80 is: 10,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,255.80 : 19,848.14 = 7,002.80 : x
  2. Step 2: Convert to fraction form
    13,255.80/19,848.14 = 7,002.80/x
  3. Step 3: Cross multiply
    13,255.80x = 19,848.14 × 7,002.80
  4. Step 4: Simplify right side
    13,255.80x = 138,992,554.79
  5. Step 5: Solve for x
    x = 138,992,554.79/13,255.80
  6. Step 6: Final answer
    x = 10,485.41

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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.