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Finding the Fourth Proportional to 2,972.92, 4,102.50 and 1,853.50

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Solution

The fourth proportional to 2,972.92, 4,102.50 and 1,853.50 is: 2,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.92 : 4,102.50 = 1,853.50 : x
  2. Step 2: Convert to fraction form
    2,972.92/4,102.50 = 1,853.50/x
  3. Step 3: Cross multiply
    2,972.92x = 4,102.50 × 1,853.50
  4. Step 4: Simplify right side
    2,972.92x = 7,603,983.75
  5. Step 5: Solve for x
    x = 7,603,983.75/2,972.92
  6. Step 6: Final answer
    x = 2,557.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.