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Finding the Fourth Proportional to 1,724.60, 2,586.90 and 1,643.60

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Solution

The fourth proportional to 1,724.60, 2,586.90 and 1,643.60 is: 2,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.60 : 2,586.90 = 1,643.60 : x
  2. Step 2: Convert to fraction form
    1,724.60/2,586.90 = 1,643.60/x
  3. Step 3: Cross multiply
    1,724.60x = 2,586.90 × 1,643.60
  4. Step 4: Simplify right side
    1,724.60x = 4,251,828.84
  5. Step 5: Solve for x
    x = 4,251,828.84/1,724.60
  6. Step 6: Final answer
    x = 2,465.40

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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.