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Finding the Fourth Proportional to 2,664, 3,675.06 and 1,878.48

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Solution

The fourth proportional to 2,664, 3,675.06 and 1,878.48 is: 2,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664 : 3,675.06 = 1,878.48 : x
  2. Step 2: Convert to fraction form
    2,664/3,675.06 = 1,878.48/x
  3. Step 3: Cross multiply
    2,664x = 3,675.06 × 1,878.48
  4. Step 4: Simplify right side
    2,664x = 6,903,526.71
  5. Step 5: Solve for x
    x = 6,903,526.71/2,664
  6. Step 6: Final answer
    x = 2,591.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.