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Finding the Fourth Proportional to 6,655.77, 9,978.19 and 4,189.93

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Solution

The fourth proportional to 6,655.77, 9,978.19 and 4,189.93 is: 6,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.77 : 9,978.19 = 4,189.93 : x
  2. Step 2: Convert to fraction form
    6,655.77/9,978.19 = 4,189.93/x
  3. Step 3: Cross multiply
    6,655.77x = 9,978.19 × 4,189.93
  4. Step 4: Simplify right side
    6,655.77x = 41,807,882.21
  5. Step 5: Solve for x
    x = 41,807,882.21/6,655.77
  6. Step 6: Final answer
    x = 6,281.45

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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.