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Finding the Fourth Proportional to 1,669.81, 2,303.61 and 961.48

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Solution

The fourth proportional to 1,669.81, 2,303.61 and 961.48 is: 1,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.81 : 2,303.61 = 961.48 : x
  2. Step 2: Convert to fraction form
    1,669.81/2,303.61 = 961.48/x
  3. Step 3: Cross multiply
    1,669.81x = 2,303.61 × 961.48
  4. Step 4: Simplify right side
    1,669.81x = 2,214,874.94
  5. Step 5: Solve for x
    x = 2,214,874.94/1,669.81
  6. Step 6: Final answer
    x = 1,326.42

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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.