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Finding the Fourth Proportional to 2,599.22, 3,898.86 and 651.42

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Solution

The fourth proportional to 2,599.22, 3,898.86 and 651.42 is: 977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.22 : 3,898.86 = 651.42 : x
  2. Step 2: Convert to fraction form
    2,599.22/3,898.86 = 651.42/x
  3. Step 3: Cross multiply
    2,599.22x = 3,898.86 × 651.42
  4. Step 4: Simplify right side
    2,599.22x = 2,539,795.38
  5. Step 5: Solve for x
    x = 2,539,795.38/2,599.22
  6. Step 6: Final answer
    x = 977.14

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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.