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Finding the Fourth Proportional to 1,969.02, 2,715.90 and 1,222.20

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Solution

The fourth proportional to 1,969.02, 2,715.90 and 1,222.20 is: 1,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.02 : 2,715.90 = 1,222.20 : x
  2. Step 2: Convert to fraction form
    1,969.02/2,715.90 = 1,222.20/x
  3. Step 3: Cross multiply
    1,969.02x = 2,715.90 × 1,222.20
  4. Step 4: Simplify right side
    1,969.02x = 3,319,372.98
  5. Step 5: Solve for x
    x = 3,319,372.98/1,969.02
  6. Step 6: Final answer
    x = 1,685.80

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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.