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Finding the Fourth Proportional to 2,975.48, 4,454.90 and 1,511.48

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Solution

The fourth proportional to 2,975.48, 4,454.90 and 1,511.48 is: 2,262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.48 : 4,454.90 = 1,511.48 : x
  2. Step 2: Convert to fraction form
    2,975.48/4,454.90 = 1,511.48/x
  3. Step 3: Cross multiply
    2,975.48x = 4,454.90 × 1,511.48
  4. Step 4: Simplify right side
    2,975.48x = 6,733,492.25
  5. Step 5: Solve for x
    x = 6,733,492.25/2,975.48
  6. Step 6: Final answer
    x = 2,262.99

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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.