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Finding the Fourth Proportional to 1,636.10, 2,256.81 and 1,526.75

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Solution

The fourth proportional to 1,636.10, 2,256.81 and 1,526.75 is: 2,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.10 : 2,256.81 = 1,526.75 : x
  2. Step 2: Convert to fraction form
    1,636.10/2,256.81 = 1,526.75/x
  3. Step 3: Cross multiply
    1,636.10x = 2,256.81 × 1,526.75
  4. Step 4: Simplify right side
    1,636.10x = 3,445,573.38
  5. Step 5: Solve for x
    x = 3,445,573.38/1,636.10
  6. Step 6: Final answer
    x = 2,105.97

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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.