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Finding the Fourth Proportional to 2,103.68, 2,903.08 and 1,219.52

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Solution

The fourth proportional to 2,103.68, 2,903.08 and 1,219.52 is: 1,682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.68 : 2,903.08 = 1,219.52 : x
  2. Step 2: Convert to fraction form
    2,103.68/2,903.08 = 1,219.52/x
  3. Step 3: Cross multiply
    2,103.68x = 2,903.08 × 1,219.52
  4. Step 4: Simplify right side
    2,103.68x = 3,540,364.12
  5. Step 5: Solve for x
    x = 3,540,364.12/2,103.68
  6. Step 6: Final answer
    x = 1,682.94

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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.