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Finding the Fourth Proportional to 1,409.09, 1,942.71 and 966.20

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Solution

The fourth proportional to 1,409.09, 1,942.71 and 966.20 is: 1,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.09 : 1,942.71 = 966.20 : x
  2. Step 2: Convert to fraction form
    1,409.09/1,942.71 = 966.20/x
  3. Step 3: Cross multiply
    1,409.09x = 1,942.71 × 966.20
  4. Step 4: Simplify right side
    1,409.09x = 1,877,046.40
  5. Step 5: Solve for x
    x = 1,877,046.40/1,409.09
  6. Step 6: Final answer
    x = 1,332.10

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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.