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Finding the Fourth Proportional to 7,978.40, 11,008.00 and 4,747.71

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Solution

The fourth proportional to 7,978.40, 11,008.00 and 4,747.71 is: 6,550.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.40 : 11,008.00 = 4,747.71 : x
  2. Step 2: Convert to fraction form
    7,978.40/11,008.00 = 4,747.71/x
  3. Step 3: Cross multiply
    7,978.40x = 11,008.00 × 4,747.71
  4. Step 4: Simplify right side
    7,978.40x = 52,262,838.89
  5. Step 5: Solve for x
    x = 52,262,838.89/7,978.40
  6. Step 6: Final answer
    x = 6,550.54

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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.