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Finding the Fourth Proportional to 2,322.78, 3,205.50 and 1,438.68

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Solution

The fourth proportional to 2,322.78, 3,205.50 and 1,438.68 is: 1,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.78 : 3,205.50 = 1,438.68 : x
  2. Step 2: Convert to fraction form
    2,322.78/3,205.50 = 1,438.68/x
  3. Step 3: Cross multiply
    2,322.78x = 3,205.50 × 1,438.68
  4. Step 4: Simplify right side
    2,322.78x = 4,611,688.74
  5. Step 5: Solve for x
    x = 4,611,688.74/2,322.78
  6. Step 6: Final answer
    x = 1,985.42

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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.