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Finding the Fourth Proportional to 1,650.07, 2,478.04 and 1,584.01

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Solution

The fourth proportional to 1,650.07, 2,478.04 and 1,584.01 is: 2,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.07 : 2,478.04 = 1,584.01 : x
  2. Step 2: Convert to fraction form
    1,650.07/2,478.04 = 1,584.01/x
  3. Step 3: Cross multiply
    1,650.07x = 2,478.04 × 1,584.01
  4. Step 4: Simplify right side
    1,650.07x = 3,925,234.25
  5. Step 5: Solve for x
    x = 3,925,234.25/1,650.07
  6. Step 6: Final answer
    x = 2,378.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.