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Finding the Fourth Proportional to 2,852.10, 4,277.91 and 904.02

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Solution

The fourth proportional to 2,852.10, 4,277.91 and 904.02 is: 1,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.10 : 4,277.91 = 904.02 : x
  2. Step 2: Convert to fraction form
    2,852.10/4,277.91 = 904.02/x
  3. Step 3: Cross multiply
    2,852.10x = 4,277.91 × 904.02
  4. Step 4: Simplify right side
    2,852.10x = 3,867,316.20
  5. Step 5: Solve for x
    x = 3,867,316.20/2,852.10
  6. Step 6: Final answer
    x = 1,355.95

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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.