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Finding the Fourth Proportional to 1,567.90, 2,164.08 and 905.14

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Solution

The fourth proportional to 1,567.90, 2,164.08 and 905.14 is: 1,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.90 : 2,164.08 = 905.14 : x
  2. Step 2: Convert to fraction form
    1,567.90/2,164.08 = 905.14/x
  3. Step 3: Cross multiply
    1,567.90x = 2,164.08 × 905.14
  4. Step 4: Simplify right side
    1,567.90x = 1,958,795.37
  5. Step 5: Solve for x
    x = 1,958,795.37/1,567.90
  6. Step 6: Final answer
    x = 1,249.31

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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.