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Finding the Fourth Proportional to 5,825.60, 8,738.40 and 1,665.60

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Solution

The fourth proportional to 5,825.60, 8,738.40 and 1,665.60 is: 2,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.60 : 8,738.40 = 1,665.60 : x
  2. Step 2: Convert to fraction form
    5,825.60/8,738.40 = 1,665.60/x
  3. Step 3: Cross multiply
    5,825.60x = 8,738.40 × 1,665.60
  4. Step 4: Simplify right side
    5,825.60x = 14,554,679.04
  5. Step 5: Solve for x
    x = 14,554,679.04/5,825.60
  6. Step 6: Final answer
    x = 2,498.40

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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.