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Finding the Fourth Proportional to 1,795.57, 2,478.11 and 1,009.61

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Solution

The fourth proportional to 1,795.57, 2,478.11 and 1,009.61 is: 1,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.57 : 2,478.11 = 1,009.61 : x
  2. Step 2: Convert to fraction form
    1,795.57/2,478.11 = 1,009.61/x
  3. Step 3: Cross multiply
    1,795.57x = 2,478.11 × 1,009.61
  4. Step 4: Simplify right side
    1,795.57x = 2,501,919.59
  5. Step 5: Solve for x
    x = 2,501,919.59/1,795.57
  6. Step 6: Final answer
    x = 1,393.39

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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.