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Finding the Fourth Proportional to 1,841.60, 2,762.40 and 745.23

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Solution

The fourth proportional to 1,841.60, 2,762.40 and 745.23 is: 1,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.60 : 2,762.40 = 745.23 : x
  2. Step 2: Convert to fraction form
    1,841.60/2,762.40 = 745.23/x
  3. Step 3: Cross multiply
    1,841.60x = 2,762.40 × 745.23
  4. Step 4: Simplify right side
    1,841.60x = 2,058,636.51
  5. Step 5: Solve for x
    x = 2,058,636.51/1,841.60
  6. Step 6: Final answer
    x = 1,117.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.