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Finding the Fourth Proportional to 2,643.60, 3,965.40 and 2,384.40

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Solution

The fourth proportional to 2,643.60, 3,965.40 and 2,384.40 is: 3,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.60 : 3,965.40 = 2,384.40 : x
  2. Step 2: Convert to fraction form
    2,643.60/3,965.40 = 2,384.40/x
  3. Step 3: Cross multiply
    2,643.60x = 3,965.40 × 2,384.40
  4. Step 4: Simplify right side
    2,643.60x = 9,455,099.76
  5. Step 5: Solve for x
    x = 9,455,099.76/2,643.60
  6. Step 6: Final answer
    x = 3,576.60

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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.