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Finding the Fourth Proportional to 9,306, 13,978.96 and 5,845.68

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Solution

The fourth proportional to 9,306, 13,978.96 and 5,845.68 is: 8,781.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306 : 13,978.96 = 5,845.68 : x
  2. Step 2: Convert to fraction form
    9,306/13,978.96 = 5,845.68/x
  3. Step 3: Cross multiply
    9,306x = 13,978.96 × 5,845.68
  4. Step 4: Simplify right side
    9,306x = 81,716,526.89
  5. Step 5: Solve for x
    x = 81,716,526.89/9,306
  6. Step 6: Final answer
    x = 8,781.06

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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.