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Finding the Fourth Proportional to 3,460.70, 4,776.78 and 3,284.32

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Solution

The fourth proportional to 3,460.70, 4,776.78 and 3,284.32 is: 4,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.70 : 4,776.78 = 3,284.32 : x
  2. Step 2: Convert to fraction form
    3,460.70/4,776.78 = 3,284.32/x
  3. Step 3: Cross multiply
    3,460.70x = 4,776.78 × 3,284.32
  4. Step 4: Simplify right side
    3,460.70x = 15,688,474.09
  5. Step 5: Solve for x
    x = 15,688,474.09/3,460.70
  6. Step 6: Final answer
    x = 4,533.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.