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Finding the Fourth Proportional to 8,923.16, 12,308.37 and 5,740.60

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Solution

The fourth proportional to 8,923.16, 12,308.37 and 5,740.60 is: 7,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.16 : 12,308.37 = 5,740.60 : x
  2. Step 2: Convert to fraction form
    8,923.16/12,308.37 = 5,740.60/x
  3. Step 3: Cross multiply
    8,923.16x = 12,308.37 × 5,740.60
  4. Step 4: Simplify right side
    8,923.16x = 70,657,409.38
  5. Step 5: Solve for x
    x = 70,657,409.38/8,923.16
  6. Step 6: Final answer
    x = 7,918.43

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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.