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Finding the Fourth Proportional to 13,319.22, 19,978.63 and 7,705.33

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Solution

The fourth proportional to 13,319.22, 19,978.63 and 7,705.33 is: 11,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,319.22 : 19,978.63 = 7,705.33 : x
  2. Step 2: Convert to fraction form
    13,319.22/19,978.63 = 7,705.33/x
  3. Step 3: Cross multiply
    13,319.22x = 19,978.63 × 7,705.33
  4. Step 4: Simplify right side
    13,319.22x = 153,941,937.10
  5. Step 5: Solve for x
    x = 153,941,937.10/13,319.22
  6. Step 6: Final answer
    x = 11,557.88

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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.