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Finding the Fourth Proportional to 2,862.95, 4,294.87 and 1,219.50

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Solution

The fourth proportional to 2,862.95, 4,294.87 and 1,219.50 is: 1,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.95 : 4,294.87 = 1,219.50 : x
  2. Step 2: Convert to fraction form
    2,862.95/4,294.87 = 1,219.50/x
  3. Step 3: Cross multiply
    2,862.95x = 4,294.87 × 1,219.50
  4. Step 4: Simplify right side
    2,862.95x = 5,237,590.92
  5. Step 5: Solve for x
    x = 5,237,590.92/2,862.95
  6. Step 6: Final answer
    x = 1,829.44

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1.5x scale

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.