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Finding the Fourth Proportional to 2,900.45, 4,345.21 and 2,248

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Solution

The fourth proportional to 2,900.45, 4,345.21 and 2,248 is: 3,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.45 : 4,345.21 = 2,248 : x
  2. Step 2: Convert to fraction form
    2,900.45/4,345.21 = 2,248/x
  3. Step 3: Cross multiply
    2,900.45x = 4,345.21 × 2,248
  4. Step 4: Simplify right side
    2,900.45x = 9,768,032.08
  5. Step 5: Solve for x
    x = 9,768,032.08/2,900.45
  6. Step 6: Final answer
    x = 3,367.76

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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.