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Finding the Fourth Proportional to 6,649.83, 9,973.62 and 1,969.74

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Solution

The fourth proportional to 6,649.83, 9,973.62 and 1,969.74 is: 2,954.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.83 : 9,973.62 = 1,969.74 : x
  2. Step 2: Convert to fraction form
    6,649.83/9,973.62 = 1,969.74/x
  3. Step 3: Cross multiply
    6,649.83x = 9,973.62 × 1,969.74
  4. Step 4: Simplify right side
    6,649.83x = 19,645,438.26
  5. Step 5: Solve for x
    x = 19,645,438.26/6,649.83
  6. Step 6: Final answer
    x = 2,954.28

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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.