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Finding the Fourth Proportional to 1,636.85, 2,257.85 and 1,527.50

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Solution

The fourth proportional to 1,636.85, 2,257.85 and 1,527.50 is: 2,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.85 : 2,257.85 = 1,527.50 : x
  2. Step 2: Convert to fraction form
    1,636.85/2,257.85 = 1,527.50/x
  3. Step 3: Cross multiply
    1,636.85x = 2,257.85 × 1,527.50
  4. Step 4: Simplify right side
    1,636.85x = 3,448,846.95
  5. Step 5: Solve for x
    x = 3,448,846.95/1,636.85
  6. Step 6: Final answer
    x = 2,107.01

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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.