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Finding the Fourth Proportional to 2,856.84, 4,284.68 and 776.98

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Solution

The fourth proportional to 2,856.84, 4,284.68 and 776.98 is: 1,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.84 : 4,284.68 = 776.98 : x
  2. Step 2: Convert to fraction form
    2,856.84/4,284.68 = 776.98/x
  3. Step 3: Cross multiply
    2,856.84x = 4,284.68 × 776.98
  4. Step 4: Simplify right side
    2,856.84x = 3,329,112.14
  5. Step 5: Solve for x
    x = 3,329,112.14/2,856.84
  6. Step 6: Final answer
    x = 1,165.31

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1.5x scale

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.