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Finding the Fourth Proportional to 9,178.71, 13,760.46 and 7,614.39

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Solution

The fourth proportional to 9,178.71, 13,760.46 and 7,614.39 is: 11,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.71 : 13,760.46 = 7,614.39 : x
  2. Step 2: Convert to fraction form
    9,178.71/13,760.46 = 7,614.39/x
  3. Step 3: Cross multiply
    9,178.71x = 13,760.46 × 7,614.39
  4. Step 4: Simplify right side
    9,178.71x = 104,777,509.02
  5. Step 5: Solve for x
    x = 104,777,509.02/9,178.71
  6. Step 6: Final answer
    x = 11,415.28

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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.