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Finding the Fourth Proportional to 1,636.39, 2,457.02 and 1,607.23

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Solution

The fourth proportional to 1,636.39, 2,457.02 and 1,607.23 is: 2,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.39 : 2,457.02 = 1,607.23 : x
  2. Step 2: Convert to fraction form
    1,636.39/2,457.02 = 1,607.23/x
  3. Step 3: Cross multiply
    1,636.39x = 2,457.02 × 1,607.23
  4. Step 4: Simplify right side
    1,636.39x = 3,948,996.25
  5. Step 5: Solve for x
    x = 3,948,996.25/1,636.39
  6. Step 6: Final answer
    x = 2,413.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.