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Finding the Fourth Proportional to 6,647.86, 9,971.43 and 2,030.50

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Solution

The fourth proportional to 6,647.86, 9,971.43 and 2,030.50 is: 3,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.86 : 9,971.43 = 2,030.50 : x
  2. Step 2: Convert to fraction form
    6,647.86/9,971.43 = 2,030.50/x
  3. Step 3: Cross multiply
    6,647.86x = 9,971.43 × 2,030.50
  4. Step 4: Simplify right side
    6,647.86x = 20,246,988.62
  5. Step 5: Solve for x
    x = 20,246,988.62/6,647.86
  6. Step 6: Final answer
    x = 3,045.64

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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.