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Finding the Fourth Proportional to 2,386.53, 3,579.39 and 654.75

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Solution

The fourth proportional to 2,386.53, 3,579.39 and 654.75 is: 982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.53 : 3,579.39 = 654.75 : x
  2. Step 2: Convert to fraction form
    2,386.53/3,579.39 = 654.75/x
  3. Step 3: Cross multiply
    2,386.53x = 3,579.39 × 654.75
  4. Step 4: Simplify right side
    2,386.53x = 2,343,605.60
  5. Step 5: Solve for x
    x = 2,343,605.60/2,386.53
  6. Step 6: Final answer
    x = 982.01

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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.