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Finding the Fourth Proportional to 1,632.06, 2,448.12 and 1,309.50

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Solution

The fourth proportional to 1,632.06, 2,448.12 and 1,309.50 is: 1,964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.06 : 2,448.12 = 1,309.50 : x
  2. Step 2: Convert to fraction form
    1,632.06/2,448.12 = 1,309.50/x
  3. Step 3: Cross multiply
    1,632.06x = 2,448.12 × 1,309.50
  4. Step 4: Simplify right side
    1,632.06x = 3,205,813.14
  5. Step 5: Solve for x
    x = 3,205,813.14/1,632.06
  6. Step 6: Final answer
    x = 1,964.27

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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.