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Finding the Fourth Proportional to 6,978.74, 10,468.47 and 1,784.66

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Solution

The fourth proportional to 6,978.74, 10,468.47 and 1,784.66 is: 2,677.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.74 : 10,468.47 = 1,784.66 : x
  2. Step 2: Convert to fraction form
    6,978.74/10,468.47 = 1,784.66/x
  3. Step 3: Cross multiply
    6,978.74x = 10,468.47 × 1,784.66
  4. Step 4: Simplify right side
    6,978.74x = 18,682,659.67
  5. Step 5: Solve for x
    x = 18,682,659.67/6,978.74
  6. Step 6: Final answer
    x = 2,677.08

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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.