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Finding the Fourth Proportional to 1,509, 2,273.77 and 1,241.09

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Solution

The fourth proportional to 1,509, 2,273.77 and 1,241.09 is: 1,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509 : 2,273.77 = 1,241.09 : x
  2. Step 2: Convert to fraction form
    1,509/2,273.77 = 1,241.09/x
  3. Step 3: Cross multiply
    1,509x = 2,273.77 × 1,241.09
  4. Step 4: Simplify right side
    1,509x = 2,821,953.21
  5. Step 5: Solve for x
    x = 2,821,953.21/1,509
  6. Step 6: Final answer
    x = 1,870.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.