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Finding the Fourth Proportional to 1,341.35, 1,852.04 and 969.15

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Solution

The fourth proportional to 1,341.35, 1,852.04 and 969.15 is: 1,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.35 : 1,852.04 = 969.15 : x
  2. Step 2: Convert to fraction form
    1,341.35/1,852.04 = 969.15/x
  3. Step 3: Cross multiply
    1,341.35x = 1,852.04 × 969.15
  4. Step 4: Simplify right side
    1,341.35x = 1,794,911.62
  5. Step 5: Solve for x
    x = 1,794,911.62/1,341.35
  6. Step 6: Final answer
    x = 1,338.14

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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.