Home / 1,638.74-2,260.42-975.09

Finding the Fourth Proportional to 1,638.74, 2,260.42 and 975.09

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Solution

The fourth proportional to 1,638.74, 2,260.42 and 975.09 is: 1,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.74 : 2,260.42 = 975.09 : x
  2. Step 2: Convert to fraction form
    1,638.74/2,260.42 = 975.09/x
  3. Step 3: Cross multiply
    1,638.74x = 2,260.42 × 975.09
  4. Step 4: Simplify right side
    1,638.74x = 2,204,124.46
  5. Step 5: Solve for x
    x = 2,204,124.46/1,638.74
  6. Step 6: Final answer
    x = 1,345.01

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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.