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Finding the Fourth Proportional to 6,300.91, 9,451.88 and 1,918.41

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Solution

The fourth proportional to 6,300.91, 9,451.88 and 1,918.41 is: 2,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.91 : 9,451.88 = 1,918.41 : x
  2. Step 2: Convert to fraction form
    6,300.91/9,451.88 = 1,918.41/x
  3. Step 3: Cross multiply
    6,300.91x = 9,451.88 × 1,918.41
  4. Step 4: Simplify right side
    6,300.91x = 18,132,581.11
  5. Step 5: Solve for x
    x = 18,132,581.11/6,300.91
  6. Step 6: Final answer
    x = 2,877.77

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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.