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Finding the Fourth Proportional to 1,950.48, 2,924.88 and 1,365.84

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Solution

The fourth proportional to 1,950.48, 2,924.88 and 1,365.84 is: 2,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.48 : 2,924.88 = 1,365.84 : x
  2. Step 2: Convert to fraction form
    1,950.48/2,924.88 = 1,365.84/x
  3. Step 3: Cross multiply
    1,950.48x = 2,924.88 × 1,365.84
  4. Step 4: Simplify right side
    1,950.48x = 3,994,918.10
  5. Step 5: Solve for x
    x = 3,994,918.10/1,950.48
  6. Step 6: Final answer
    x = 2,048.17

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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.