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Finding the Fourth Proportional to 6,649.48, 9,975.68 and 1,969.85

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Solution

The fourth proportional to 6,649.48, 9,975.68 and 1,969.85 is: 2,955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.48 : 9,975.68 = 1,969.85 : x
  2. Step 2: Convert to fraction form
    6,649.48/9,975.68 = 1,969.85/x
  3. Step 3: Cross multiply
    6,649.48x = 9,975.68 × 1,969.85
  4. Step 4: Simplify right side
    6,649.48x = 19,650,583.40
  5. Step 5: Solve for x
    x = 19,650,583.40/6,649.48
  6. Step 6: Final answer
    x = 2,955.21

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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.