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Finding the Fourth Proportional to 2,036.12, 2,808.12 and 1,615.80

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Solution

The fourth proportional to 2,036.12, 2,808.12 and 1,615.80 is: 2,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.12 : 2,808.12 = 1,615.80 : x
  2. Step 2: Convert to fraction form
    2,036.12/2,808.12 = 1,615.80/x
  3. Step 3: Cross multiply
    2,036.12x = 2,808.12 × 1,615.80
  4. Step 4: Simplify right side
    2,036.12x = 4,537,360.30
  5. Step 5: Solve for x
    x = 4,537,360.30/2,036.12
  6. Step 6: Final answer
    x = 2,228.44

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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.