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Finding the Fourth Proportional to 1,783.50, 2,460.07 and 1,119.77

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Solution

The fourth proportional to 1,783.50, 2,460.07 and 1,119.77 is: 1,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.50 : 2,460.07 = 1,119.77 : x
  2. Step 2: Convert to fraction form
    1,783.50/2,460.07 = 1,119.77/x
  3. Step 3: Cross multiply
    1,783.50x = 2,460.07 × 1,119.77
  4. Step 4: Simplify right side
    1,783.50x = 2,754,712.58
  5. Step 5: Solve for x
    x = 2,754,712.58/1,783.50
  6. Step 6: Final answer
    x = 1,544.55

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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.