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Finding the Fourth Proportional to 11,605.98, 17,408.95 and 4,210.42

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Solution

The fourth proportional to 11,605.98, 17,408.95 and 4,210.42 is: 6,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.98 : 17,408.95 = 4,210.42 : x
  2. Step 2: Convert to fraction form
    11,605.98/17,408.95 = 4,210.42/x
  3. Step 3: Cross multiply
    11,605.98x = 17,408.95 × 4,210.42
  4. Step 4: Simplify right side
    11,605.98x = 73,298,991.26
  5. Step 5: Solve for x
    x = 73,298,991.26/11,605.98
  6. Step 6: Final answer
    x = 6,315.62

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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.