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Finding the Fourth Proportional to 4,649.42, 6,973.14 and 2,185.40

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Solution

The fourth proportional to 4,649.42, 6,973.14 and 2,185.40 is: 3,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.42 : 6,973.14 = 2,185.40 : x
  2. Step 2: Convert to fraction form
    4,649.42/6,973.14 = 2,185.40/x
  3. Step 3: Cross multiply
    4,649.42x = 6,973.14 × 2,185.40
  4. Step 4: Simplify right side
    4,649.42x = 15,239,100.16
  5. Step 5: Solve for x
    x = 15,239,100.16/4,649.42
  6. Step 6: Final answer
    x = 3,277.63

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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.