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Finding the Fourth Proportional to 2,430.02, 3,645.04 and 1,940.78

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Solution

The fourth proportional to 2,430.02, 3,645.04 and 1,940.78 is: 2,911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.02 : 3,645.04 = 1,940.78 : x
  2. Step 2: Convert to fraction form
    2,430.02/3,645.04 = 1,940.78/x
  3. Step 3: Cross multiply
    2,430.02x = 3,645.04 × 1,940.78
  4. Step 4: Simplify right side
    2,430.02x = 7,074,220.73
  5. Step 5: Solve for x
    x = 7,074,220.73/2,430.02
  6. Step 6: Final answer
    x = 2,911.18

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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.