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Finding the Fourth Proportional to 12,407.88, 18,615.06 and 4,089.16

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Solution

The fourth proportional to 12,407.88, 18,615.06 and 4,089.16 is: 6,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.88 : 18,615.06 = 4,089.16 : x
  2. Step 2: Convert to fraction form
    12,407.88/18,615.06 = 4,089.16/x
  3. Step 3: Cross multiply
    12,407.88x = 18,615.06 × 4,089.16
  4. Step 4: Simplify right side
    12,407.88x = 76,119,958.75
  5. Step 5: Solve for x
    x = 76,119,958.75/12,407.88
  6. Step 6: Final answer
    x = 6,134.81

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1.5x scale

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.