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Finding the Fourth Proportional to 1,975.88, 2,962.40 and 743.19

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Solution

The fourth proportional to 1,975.88, 2,962.40 and 743.19 is: 1,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.88 : 2,962.40 = 743.19 : x
  2. Step 2: Convert to fraction form
    1,975.88/2,962.40 = 743.19/x
  3. Step 3: Cross multiply
    1,975.88x = 2,962.40 × 743.19
  4. Step 4: Simplify right side
    1,975.88x = 2,201,622.34
  5. Step 5: Solve for x
    x = 2,201,622.34/1,975.88
  6. Step 6: Final answer
    x = 1,114.25

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1.5x scale

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.