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Finding the Fourth Proportional to 1,751.20, 2,410.32 and 1,650.40

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Solution

The fourth proportional to 1,751.20, 2,410.32 and 1,650.40 is: 2,271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.20 : 2,410.32 = 1,650.40 : x
  2. Step 2: Convert to fraction form
    1,751.20/2,410.32 = 1,650.40/x
  3. Step 3: Cross multiply
    1,751.20x = 2,410.32 × 1,650.40
  4. Step 4: Simplify right side
    1,751.20x = 3,977,992.13
  5. Step 5: Solve for x
    x = 3,977,992.13/1,751.20
  6. Step 6: Final answer
    x = 2,271.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.