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Finding the Fourth Proportional to 7,009, 10,514.94 and 2,905

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Solution

The fourth proportional to 7,009, 10,514.94 and 2,905 is: 4,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009 : 10,514.94 = 2,905 : x
  2. Step 2: Convert to fraction form
    7,009/10,514.94 = 2,905/x
  3. Step 3: Cross multiply
    7,009x = 10,514.94 × 2,905
  4. Step 4: Simplify right side
    7,009x = 30,545,900.70
  5. Step 5: Solve for x
    x = 30,545,900.70/7,009
  6. Step 6: Final answer
    x = 4,358.10

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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.