Home / 1,602.06-2,400.64-1,189.26

Finding the Fourth Proportional to 1,602.06, 2,400.64 and 1,189.26

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Solution

The fourth proportional to 1,602.06, 2,400.64 and 1,189.26 is: 1,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.06 : 2,400.64 = 1,189.26 : x
  2. Step 2: Convert to fraction form
    1,602.06/2,400.64 = 1,189.26/x
  3. Step 3: Cross multiply
    1,602.06x = 2,400.64 × 1,189.26
  4. Step 4: Simplify right side
    1,602.06x = 2,854,985.13
  5. Step 5: Solve for x
    x = 2,854,985.13/1,602.06
  6. Step 6: Final answer
    x = 1,782.07

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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.