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Finding the Fourth Proportional to 9,978.54, 14,967.81 and 5,538.93

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Solution

The fourth proportional to 9,978.54, 14,967.81 and 5,538.93 is: 8,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.54 : 14,967.81 = 5,538.93 : x
  2. Step 2: Convert to fraction form
    9,978.54/14,967.81 = 5,538.93/x
  3. Step 3: Cross multiply
    9,978.54x = 14,967.81 × 5,538.93
  4. Step 4: Simplify right side
    9,978.54x = 82,905,651.84
  5. Step 5: Solve for x
    x = 82,905,651.84/9,978.54
  6. Step 6: Final answer
    x = 8,308.40

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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.