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Finding the Fourth Proportional to 1,315.02, 1,961.04 and 1,242.23

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Solution

The fourth proportional to 1,315.02, 1,961.04 and 1,242.23 is: 1,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.02 : 1,961.04 = 1,242.23 : x
  2. Step 2: Convert to fraction form
    1,315.02/1,961.04 = 1,242.23/x
  3. Step 3: Cross multiply
    1,315.02x = 1,961.04 × 1,242.23
  4. Step 4: Simplify right side
    1,315.02x = 2,436,052.91
  5. Step 5: Solve for x
    x = 2,436,052.91/1,315.02
  6. Step 6: Final answer
    x = 1,852.48

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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.