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Finding the Fourth Proportional to 7,978.15, 11,006.99 and 4,619.13

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Solution

The fourth proportional to 7,978.15, 11,006.99 and 4,619.13 is: 6,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.15 : 11,006.99 = 4,619.13 : x
  2. Step 2: Convert to fraction form
    7,978.15/11,006.99 = 4,619.13/x
  3. Step 3: Cross multiply
    7,978.15x = 11,006.99 × 4,619.13
  4. Step 4: Simplify right side
    7,978.15x = 50,842,670.67
  5. Step 5: Solve for x
    x = 50,842,670.67/7,978.15
  6. Step 6: Final answer
    x = 6,372.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.