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Finding the Fourth Proportional to 13,978, 19,289.82 and 7,690.24

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Solution

The fourth proportional to 13,978, 19,289.82 and 7,690.24 is: 10,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978 : 19,289.82 = 7,690.24 : x
  2. Step 2: Convert to fraction form
    13,978/19,289.82 = 7,690.24/x
  3. Step 3: Cross multiply
    13,978x = 19,289.82 × 7,690.24
  4. Step 4: Simplify right side
    13,978x = 148,343,345.36
  5. Step 5: Solve for x
    x = 148,343,345.36/13,978
  6. Step 6: Final answer
    x = 10,612.63

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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.