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Finding the Fourth Proportional to 1,437.60, 1,982.52 and 940.08

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Solution

The fourth proportional to 1,437.60, 1,982.52 and 940.08 is: 1,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.60 : 1,982.52 = 940.08 : x
  2. Step 2: Convert to fraction form
    1,437.60/1,982.52 = 940.08/x
  3. Step 3: Cross multiply
    1,437.60x = 1,982.52 × 940.08
  4. Step 4: Simplify right side
    1,437.60x = 1,863,727.40
  5. Step 5: Solve for x
    x = 1,863,727.40/1,437.60
  6. Step 6: Final answer
    x = 1,296.42

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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.