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Finding the Fourth Proportional to 13,777, 19,014.34 and 8,402.56

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Solution

The fourth proportional to 13,777, 19,014.34 and 8,402.56 is: 11,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777 : 19,014.34 = 8,402.56 : x
  2. Step 2: Convert to fraction form
    13,777/19,014.34 = 8,402.56/x
  3. Step 3: Cross multiply
    13,777x = 19,014.34 × 8,402.56
  4. Step 4: Simplify right side
    13,777x = 159,769,132.71
  5. Step 5: Solve for x
    x = 159,769,132.71/13,777
  6. Step 6: Final answer
    x = 11,596.80

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1.5x scale

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.