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Finding the Fourth Proportional to 9,129.46, 13,696.04 and 3,864.46

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Solution

The fourth proportional to 9,129.46, 13,696.04 and 3,864.46 is: 5,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.46 : 13,696.04 = 3,864.46 : x
  2. Step 2: Convert to fraction form
    9,129.46/13,696.04 = 3,864.46/x
  3. Step 3: Cross multiply
    9,129.46x = 13,696.04 × 3,864.46
  4. Step 4: Simplify right side
    9,129.46x = 52,927,798.74
  5. Step 5: Solve for x
    x = 52,927,798.74/9,129.46
  6. Step 6: Final answer
    x = 5,797.47

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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.