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Finding the Fourth Proportional to 9,368.74, 14,052.14 and 3,128.07

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Solution

The fourth proportional to 9,368.74, 14,052.14 and 3,128.07 is: 4,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.74 : 14,052.14 = 3,128.07 : x
  2. Step 2: Convert to fraction form
    9,368.74/14,052.14 = 3,128.07/x
  3. Step 3: Cross multiply
    9,368.74x = 14,052.14 × 3,128.07
  4. Step 4: Simplify right side
    9,368.74x = 43,956,077.57
  5. Step 5: Solve for x
    x = 43,956,077.57/9,368.74
  6. Step 6: Final answer
    x = 4,691.78

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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.