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Finding the Fourth Proportional to 2,575.68, 3,855.84 and 1,924.80

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Solution

The fourth proportional to 2,575.68, 3,855.84 and 1,924.80 is: 2,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.68 : 3,855.84 = 1,924.80 : x
  2. Step 2: Convert to fraction form
    2,575.68/3,855.84 = 1,924.80/x
  3. Step 3: Cross multiply
    2,575.68x = 3,855.84 × 1,924.80
  4. Step 4: Simplify right side
    2,575.68x = 7,421,720.83
  5. Step 5: Solve for x
    x = 7,421,720.83/2,575.68
  6. Step 6: Final answer
    x = 2,881.46

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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.