Home / 1,962.51-2,705.75-1,607.13

Finding the Fourth Proportional to 1,962.51, 2,705.75 and 1,607.13

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Solution

The fourth proportional to 1,962.51, 2,705.75 and 1,607.13 is: 2,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.51 : 2,705.75 = 1,607.13 : x
  2. Step 2: Convert to fraction form
    1,962.51/2,705.75 = 1,607.13/x
  3. Step 3: Cross multiply
    1,962.51x = 2,705.75 × 1,607.13
  4. Step 4: Simplify right side
    1,962.51x = 4,348,483.96
  5. Step 5: Solve for x
    x = 4,348,483.96/1,962.51
  6. Step 6: Final answer
    x = 2,215.78

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Why These Related Problems?

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