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Finding the Fourth Proportional to 2,973.66, 4,459.05 and 1,674.78

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Solution

The fourth proportional to 2,973.66, 4,459.05 and 1,674.78 is: 2,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.66 : 4,459.05 = 1,674.78 : x
  2. Step 2: Convert to fraction form
    2,973.66/4,459.05 = 1,674.78/x
  3. Step 3: Cross multiply
    2,973.66x = 4,459.05 × 1,674.78
  4. Step 4: Simplify right side
    2,973.66x = 7,467,927.76
  5. Step 5: Solve for x
    x = 7,467,927.76/2,973.66
  6. Step 6: Final answer
    x = 2,511.36

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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.