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Finding the Fourth Proportional to 2,059.65, 3,089.49 and 761.10

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Solution

The fourth proportional to 2,059.65, 3,089.49 and 761.10 is: 1,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.65 : 3,089.49 = 761.10 : x
  2. Step 2: Convert to fraction form
    2,059.65/3,089.49 = 761.10/x
  3. Step 3: Cross multiply
    2,059.65x = 3,089.49 × 761.10
  4. Step 4: Simplify right side
    2,059.65x = 2,351,410.84
  5. Step 5: Solve for x
    x = 2,351,410.84/2,059.65
  6. Step 6: Final answer
    x = 1,141.66

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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.