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Finding the Fourth Proportional to 2,958, 4,437.20 and 1,009.95

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Solution

The fourth proportional to 2,958, 4,437.20 and 1,009.95 is: 1,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958 : 4,437.20 = 1,009.95 : x
  2. Step 2: Convert to fraction form
    2,958/4,437.20 = 1,009.95/x
  3. Step 3: Cross multiply
    2,958x = 4,437.20 × 1,009.95
  4. Step 4: Simplify right side
    2,958x = 4,481,350.14
  5. Step 5: Solve for x
    x = 4,481,350.14/2,958
  6. Step 6: Final answer
    x = 1,514.99

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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.