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Finding the Fourth Proportional to 2,984.78, 4,465.91 and 2,681.64

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Solution

The fourth proportional to 2,984.78, 4,465.91 and 2,681.64 is: 4,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.78 : 4,465.91 = 2,681.64 : x
  2. Step 2: Convert to fraction form
    2,984.78/4,465.91 = 2,681.64/x
  3. Step 3: Cross multiply
    2,984.78x = 4,465.91 × 2,681.64
  4. Step 4: Simplify right side
    2,984.78x = 11,975,969.60
  5. Step 5: Solve for x
    x = 11,975,969.60/2,984.78
  6. Step 6: Final answer
    x = 4,012.34

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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.