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Finding the Fourth Proportional to 7,188, 9,923.76 and 4,708.32

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Solution

The fourth proportional to 7,188, 9,923.76 and 4,708.32 is: 6,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188 : 9,923.76 = 4,708.32 : x
  2. Step 2: Convert to fraction form
    7,188/9,923.76 = 4,708.32/x
  3. Step 3: Cross multiply
    7,188x = 9,923.76 × 4,708.32
  4. Step 4: Simplify right side
    7,188x = 46,724,237.68
  5. Step 5: Solve for x
    x = 46,724,237.68/7,188
  6. Step 6: Final answer
    x = 6,500.31

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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.