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Finding the Fourth Proportional to 9,612.88, 14,421.10 and 3,040.72

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Solution

The fourth proportional to 9,612.88, 14,421.10 and 3,040.72 is: 4,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.88 : 14,421.10 = 3,040.72 : x
  2. Step 2: Convert to fraction form
    9,612.88/14,421.10 = 3,040.72/x
  3. Step 3: Cross multiply
    9,612.88x = 14,421.10 × 3,040.72
  4. Step 4: Simplify right side
    9,612.88x = 43,850,527.19
  5. Step 5: Solve for x
    x = 43,850,527.19/9,612.88
  6. Step 6: Final answer
    x = 4,561.64

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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.