Home / 1,638.36-2,259.90-974.74

Finding the Fourth Proportional to 1,638.36, 2,259.90 and 974.74

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Solution

The fourth proportional to 1,638.36, 2,259.90 and 974.74 is: 1,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.36 : 2,259.90 = 974.74 : x
  2. Step 2: Convert to fraction form
    1,638.36/2,259.90 = 974.74/x
  3. Step 3: Cross multiply
    1,638.36x = 2,259.90 × 974.74
  4. Step 4: Simplify right side
    1,638.36x = 2,202,814.93
  5. Step 5: Solve for x
    x = 2,202,814.93/1,638.36
  6. Step 6: Final answer
    x = 1,344.52

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1.5x scale

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.