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Finding the Fourth Proportional to 1,969.40, 2,953.82 and 783.44

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Solution

The fourth proportional to 1,969.40, 2,953.82 and 783.44 is: 1,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.40 : 2,953.82 = 783.44 : x
  2. Step 2: Convert to fraction form
    1,969.40/2,953.82 = 783.44/x
  3. Step 3: Cross multiply
    1,969.40x = 2,953.82 × 783.44
  4. Step 4: Simplify right side
    1,969.40x = 2,314,140.74
  5. Step 5: Solve for x
    x = 2,314,140.74/1,969.40
  6. Step 6: Final answer
    x = 1,175.05

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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.