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Finding the Fourth Proportional to 2,763.60, 3,812.64 and 1,924.98

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Solution

The fourth proportional to 2,763.60, 3,812.64 and 1,924.98 is: 2,655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.60 : 3,812.64 = 1,924.98 : x
  2. Step 2: Convert to fraction form
    2,763.60/3,812.64 = 1,924.98/x
  3. Step 3: Cross multiply
    2,763.60x = 3,812.64 × 1,924.98
  4. Step 4: Simplify right side
    2,763.60x = 7,339,255.75
  5. Step 5: Solve for x
    x = 7,339,255.75/2,763.60
  6. Step 6: Final answer
    x = 2,655.69

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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.