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Finding the Fourth Proportional to 1,636.90, 2,259.15 and 1,078.20

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Solution

The fourth proportional to 1,636.90, 2,259.15 and 1,078.20 is: 1,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.90 : 2,259.15 = 1,078.20 : x
  2. Step 2: Convert to fraction form
    1,636.90/2,259.15 = 1,078.20/x
  3. Step 3: Cross multiply
    1,636.90x = 2,259.15 × 1,078.20
  4. Step 4: Simplify right side
    1,636.90x = 2,435,815.53
  5. Step 5: Solve for x
    x = 2,435,815.53/1,636.90
  6. Step 6: Final answer
    x = 1,488.07

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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.