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Finding the Fourth Proportional to 7,180.09, 10,770.15 and 1,985.98

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Solution

The fourth proportional to 7,180.09, 10,770.15 and 1,985.98 is: 2,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.09 : 10,770.15 = 1,985.98 : x
  2. Step 2: Convert to fraction form
    7,180.09/10,770.15 = 1,985.98/x
  3. Step 3: Cross multiply
    7,180.09x = 10,770.15 × 1,985.98
  4. Step 4: Simplify right side
    7,180.09x = 21,389,302.50
  5. Step 5: Solve for x
    x = 21,389,302.50/7,180.09
  6. Step 6: Final answer
    x = 2,978.97

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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.