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Finding the Fourth Proportional to 12,647.85, 18,983.45 and 6,412.22

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Solution

The fourth proportional to 12,647.85, 18,983.45 and 6,412.22 is: 9,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.85 : 18,983.45 = 6,412.22 : x
  2. Step 2: Convert to fraction form
    12,647.85/18,983.45 = 6,412.22/x
  3. Step 3: Cross multiply
    12,647.85x = 18,983.45 × 6,412.22
  4. Step 4: Simplify right side
    12,647.85x = 121,726,013.99
  5. Step 5: Solve for x
    x = 121,726,013.99/12,647.85
  6. Step 6: Final answer
    x = 9,624.24

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1.5x scale

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.