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Finding the Fourth Proportional to 13,710, 18,919.80 and 7,422.42

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Solution

The fourth proportional to 13,710, 18,919.80 and 7,422.42 is: 10,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710 : 18,919.80 = 7,422.42 : x
  2. Step 2: Convert to fraction form
    13,710/18,919.80 = 7,422.42/x
  3. Step 3: Cross multiply
    13,710x = 18,919.80 × 7,422.42
  4. Step 4: Simplify right side
    13,710x = 140,430,701.92
  5. Step 5: Solve for x
    x = 140,430,701.92/13,710
  6. Step 6: Final answer
    x = 10,242.94

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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.