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Finding the Fourth Proportional to 7,377, 11,065.52 and 1,905

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Solution

The fourth proportional to 7,377, 11,065.52 and 1,905 is: 2,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,377 : 11,065.52 = 1,905 : x
  2. Step 2: Convert to fraction form
    7,377/11,065.52 = 1,905/x
  3. Step 3: Cross multiply
    7,377x = 11,065.52 × 1,905
  4. Step 4: Simplify right side
    7,377x = 21,079,815.60
  5. Step 5: Solve for x
    x = 21,079,815.60/7,377
  6. Step 6: Final answer
    x = 2,857.51

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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.