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Finding the Fourth Proportional to 2,035.64, 3,052.20 and 1,384.40

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Solution

The fourth proportional to 2,035.64, 3,052.20 and 1,384.40 is: 2,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.64 : 3,052.20 = 1,384.40 : x
  2. Step 2: Convert to fraction form
    2,035.64/3,052.20 = 1,384.40/x
  3. Step 3: Cross multiply
    2,035.64x = 3,052.20 × 1,384.40
  4. Step 4: Simplify right side
    2,035.64x = 4,225,465.68
  5. Step 5: Solve for x
    x = 4,225,465.68/2,035.64
  6. Step 6: Final answer
    x = 2,075.74

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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.