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Finding the Fourth Proportional to 2,072.68, 2,860.20 and 1,141.20

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Solution

The fourth proportional to 2,072.68, 2,860.20 and 1,141.20 is: 1,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.68 : 2,860.20 = 1,141.20 : x
  2. Step 2: Convert to fraction form
    2,072.68/2,860.20 = 1,141.20/x
  3. Step 3: Cross multiply
    2,072.68x = 2,860.20 × 1,141.20
  4. Step 4: Simplify right side
    2,072.68x = 3,264,060.24
  5. Step 5: Solve for x
    x = 3,264,060.24/2,072.68
  6. Step 6: Final answer
    x = 1,574.80

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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.