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Finding the Fourth Proportional to 14,064.85, 19,409.42 and 7,777.22

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Solution

The fourth proportional to 14,064.85, 19,409.42 and 7,777.22 is: 10,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.85 : 19,409.42 = 7,777.22 : x
  2. Step 2: Convert to fraction form
    14,064.85/19,409.42 = 7,777.22/x
  3. Step 3: Cross multiply
    14,064.85x = 19,409.42 × 7,777.22
  4. Step 4: Simplify right side
    14,064.85x = 150,951,290.53
  5. Step 5: Solve for x
    x = 150,951,290.53/14,064.85
  6. Step 6: Final answer
    x = 10,732.52

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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.