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Finding the Fourth Proportional to 2,386.50, 3,583.02 and 2,358.78

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Solution

The fourth proportional to 2,386.50, 3,583.02 and 2,358.78 is: 3,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.50 : 3,583.02 = 2,358.78 : x
  2. Step 2: Convert to fraction form
    2,386.50/3,583.02 = 2,358.78/x
  3. Step 3: Cross multiply
    2,386.50x = 3,583.02 × 2,358.78
  4. Step 4: Simplify right side
    2,386.50x = 8,451,555.92
  5. Step 5: Solve for x
    x = 8,451,555.92/2,386.50
  6. Step 6: Final answer
    x = 3,541.40

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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.