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Finding the Fourth Proportional to 2,636.60, 3,638.36 and 1,457.60

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Solution

The fourth proportional to 2,636.60, 3,638.36 and 1,457.60 is: 2,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.60 : 3,638.36 = 1,457.60 : x
  2. Step 2: Convert to fraction form
    2,636.60/3,638.36 = 1,457.60/x
  3. Step 3: Cross multiply
    2,636.60x = 3,638.36 × 1,457.60
  4. Step 4: Simplify right side
    2,636.60x = 5,303,273.54
  5. Step 5: Solve for x
    x = 5,303,273.54/2,636.60
  6. Step 6: Final answer
    x = 2,011.41

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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.