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Finding the Fourth Proportional to 1,984.65, 2,978.46 and 1,358.46

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Solution

The fourth proportional to 1,984.65, 2,978.46 and 1,358.46 is: 2,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.65 : 2,978.46 = 1,358.46 : x
  2. Step 2: Convert to fraction form
    1,984.65/2,978.46 = 1,358.46/x
  3. Step 3: Cross multiply
    1,984.65x = 2,978.46 × 1,358.46
  4. Step 4: Simplify right side
    1,984.65x = 4,046,118.77
  5. Step 5: Solve for x
    x = 4,046,118.77/1,984.65
  6. Step 6: Final answer
    x = 2,038.71

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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.