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Finding the Fourth Proportional to 2,103.94, 2,903.44 and 1,159.71

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Solution

The fourth proportional to 2,103.94, 2,903.44 and 1,159.71 is: 1,600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.94 : 2,903.44 = 1,159.71 : x
  2. Step 2: Convert to fraction form
    2,103.94/2,903.44 = 1,159.71/x
  3. Step 3: Cross multiply
    2,103.94x = 2,903.44 × 1,159.71
  4. Step 4: Simplify right side
    2,103.94x = 3,367,148.40
  5. Step 5: Solve for x
    x = 3,367,148.40/2,103.94
  6. Step 6: Final answer
    x = 1,600.40

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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.