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Finding the Fourth Proportional to 2,261, 3,119.64 and 1,316.21

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Solution

The fourth proportional to 2,261, 3,119.64 and 1,316.21 is: 1,816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261 : 3,119.64 = 1,316.21 : x
  2. Step 2: Convert to fraction form
    2,261/3,119.64 = 1,316.21/x
  3. Step 3: Cross multiply
    2,261x = 3,119.64 × 1,316.21
  4. Step 4: Simplify right side
    2,261x = 4,106,101.36
  5. Step 5: Solve for x
    x = 4,106,101.36/2,261
  6. Step 6: Final answer
    x = 1,816.06

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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.