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Finding the Fourth Proportional to 2,866.40, 4,299.60 and 2,290.40

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Solution

The fourth proportional to 2,866.40, 4,299.60 and 2,290.40 is: 3,435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.40 : 4,299.60 = 2,290.40 : x
  2. Step 2: Convert to fraction form
    2,866.40/4,299.60 = 2,290.40/x
  3. Step 3: Cross multiply
    2,866.40x = 4,299.60 × 2,290.40
  4. Step 4: Simplify right side
    2,866.40x = 9,847,803.84
  5. Step 5: Solve for x
    x = 9,847,803.84/2,866.40
  6. Step 6: Final answer
    x = 3,435.60

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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.