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Finding the Fourth Proportional to 9,707.40, 14,561.40 and 3,134.25

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Solution

The fourth proportional to 9,707.40, 14,561.40 and 3,134.25 is: 4,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.40 : 14,561.40 = 3,134.25 : x
  2. Step 2: Convert to fraction form
    9,707.40/14,561.40 = 3,134.25/x
  3. Step 3: Cross multiply
    9,707.40x = 14,561.40 × 3,134.25
  4. Step 4: Simplify right side
    9,707.40x = 45,639,067.95
  5. Step 5: Solve for x
    x = 45,639,067.95/9,707.40
  6. Step 6: Final answer
    x = 4,701.47

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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.