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Finding the Fourth Proportional to 1,950.39, 2,920.59 and 1,564.83

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Solution

The fourth proportional to 1,950.39, 2,920.59 and 1,564.83 is: 2,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.39 : 2,920.59 = 1,564.83 : x
  2. Step 2: Convert to fraction form
    1,950.39/2,920.59 = 1,564.83/x
  3. Step 3: Cross multiply
    1,950.39x = 2,920.59 × 1,564.83
  4. Step 4: Simplify right side
    1,950.39x = 4,570,226.85
  5. Step 5: Solve for x
    x = 4,570,226.85/1,950.39
  6. Step 6: Final answer
    x = 2,343.24

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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.