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Finding the Fourth Proportional to 10,681.94, 15,982.77 and 7,401.44

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Solution

The fourth proportional to 10,681.94, 15,982.77 and 7,401.44 is: 11,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.94 : 15,982.77 = 7,401.44 : x
  2. Step 2: Convert to fraction form
    10,681.94/15,982.77 = 7,401.44/x
  3. Step 3: Cross multiply
    10,681.94x = 15,982.77 × 7,401.44
  4. Step 4: Simplify right side
    10,681.94x = 118,295,513.19
  5. Step 5: Solve for x
    x = 118,295,513.19/10,681.94
  6. Step 6: Final answer
    x = 11,074.35

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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.