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Finding the Fourth Proportional to 2,856.50, 4,284.76 and 804.50

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Solution

The fourth proportional to 2,856.50, 4,284.76 and 804.50 is: 1,206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.50 : 4,284.76 = 804.50 : x
  2. Step 2: Convert to fraction form
    2,856.50/4,284.76 = 804.50/x
  3. Step 3: Cross multiply
    2,856.50x = 4,284.76 × 804.50
  4. Step 4: Simplify right side
    2,856.50x = 3,447,089.42
  5. Step 5: Solve for x
    x = 3,447,089.42/2,856.50
  6. Step 6: Final answer
    x = 1,206.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.