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Finding the Fourth Proportional to 1,807.51, 2,707.62 and 1,395.22

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Solution

The fourth proportional to 1,807.51, 2,707.62 and 1,395.22 is: 2,090.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.51 : 2,707.62 = 1,395.22 : x
  2. Step 2: Convert to fraction form
    1,807.51/2,707.62 = 1,395.22/x
  3. Step 3: Cross multiply
    1,807.51x = 2,707.62 × 1,395.22
  4. Step 4: Simplify right side
    1,807.51x = 3,777,725.58
  5. Step 5: Solve for x
    x = 3,777,725.58/1,807.51
  6. Step 6: Final answer
    x = 2,090.02

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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.