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Finding the Fourth Proportional to 1,914.84, 2,875.50 and 1,485.54

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Solution

The fourth proportional to 1,914.84, 2,875.50 and 1,485.54 is: 2,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.84 : 2,875.50 = 1,485.54 : x
  2. Step 2: Convert to fraction form
    1,914.84/2,875.50 = 1,485.54/x
  3. Step 3: Cross multiply
    1,914.84x = 2,875.50 × 1,485.54
  4. Step 4: Simplify right side
    1,914.84x = 4,271,670.27
  5. Step 5: Solve for x
    x = 4,271,670.27/1,914.84
  6. Step 6: Final answer
    x = 2,230.82

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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.