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Finding the Fourth Proportional to 7,830.69, 11,746.01 and 1,907.51

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Solution

The fourth proportional to 7,830.69, 11,746.01 and 1,907.51 is: 2,861.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.69 : 11,746.01 = 1,907.51 : x
  2. Step 2: Convert to fraction form
    7,830.69/11,746.01 = 1,907.51/x
  3. Step 3: Cross multiply
    7,830.69x = 11,746.01 × 1,907.51
  4. Step 4: Simplify right side
    7,830.69x = 22,405,665.67
  5. Step 5: Solve for x
    x = 22,405,665.67/7,830.69
  6. Step 6: Final answer
    x = 2,861.26

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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.