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Finding the Fourth Proportional to 5,205.60, 7,800.18 and 1,914.16

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Solution

The fourth proportional to 5,205.60, 7,800.18 and 1,914.16 is: 2,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.60 : 7,800.18 = 1,914.16 : x
  2. Step 2: Convert to fraction form
    5,205.60/7,800.18 = 1,914.16/x
  3. Step 3: Cross multiply
    5,205.60x = 7,800.18 × 1,914.16
  4. Step 4: Simplify right side
    5,205.60x = 14,930,792.55
  5. Step 5: Solve for x
    x = 14,930,792.55/5,205.60
  6. Step 6: Final answer
    x = 2,868.22

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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.