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Finding the Fourth Proportional to 2,386.12, 3,579.10 and 654.74

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Solution

The fourth proportional to 2,386.12, 3,579.10 and 654.74 is: 982.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.12 : 3,579.10 = 654.74 : x
  2. Step 2: Convert to fraction form
    2,386.12/3,579.10 = 654.74/x
  3. Step 3: Cross multiply
    2,386.12x = 3,579.10 × 654.74
  4. Step 4: Simplify right side
    2,386.12x = 2,343,379.93
  5. Step 5: Solve for x
    x = 2,343,379.93/2,386.12
  6. Step 6: Final answer
    x = 982.09

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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.