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Finding the Fourth Proportional to 1,969.88, 2,938.16 and 1,855.66

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Solution

The fourth proportional to 1,969.88, 2,938.16 and 1,855.66 is: 2,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.88 : 2,938.16 = 1,855.66 : x
  2. Step 2: Convert to fraction form
    1,969.88/2,938.16 = 1,855.66/x
  3. Step 3: Cross multiply
    1,969.88x = 2,938.16 × 1,855.66
  4. Step 4: Simplify right side
    1,969.88x = 5,452,225.99
  5. Step 5: Solve for x
    x = 5,452,225.99/1,969.88
  6. Step 6: Final answer
    x = 2,767.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.