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Finding the Fourth Proportional to 2,399.95, 3,599.65 and 1,784.58

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Solution

The fourth proportional to 2,399.95, 3,599.65 and 1,784.58 is: 2,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.95 : 3,599.65 = 1,784.58 : x
  2. Step 2: Convert to fraction form
    2,399.95/3,599.65 = 1,784.58/x
  3. Step 3: Cross multiply
    2,399.95x = 3,599.65 × 1,784.58
  4. Step 4: Simplify right side
    2,399.95x = 6,423,863.40
  5. Step 5: Solve for x
    x = 6,423,863.40/2,399.95
  6. Step 6: Final answer
    x = 2,676.67

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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.