Home / 1,645.50-2,467.98-1,157.10

Finding the Fourth Proportional to 1,645.50, 2,467.98 and 1,157.10

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Solution

The fourth proportional to 1,645.50, 2,467.98 and 1,157.10 is: 1,735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.50 : 2,467.98 = 1,157.10 : x
  2. Step 2: Convert to fraction form
    1,645.50/2,467.98 = 1,157.10/x
  3. Step 3: Cross multiply
    1,645.50x = 2,467.98 × 1,157.10
  4. Step 4: Simplify right side
    1,645.50x = 2,855,699.66
  5. Step 5: Solve for x
    x = 2,855,699.66/1,645.50
  6. Step 6: Final answer
    x = 1,735.46

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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.