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Finding the Fourth Proportional to 2,386.90, 3,582.78 and 1,657.90

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Solution

The fourth proportional to 2,386.90, 3,582.78 and 1,657.90 is: 2,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.90 : 3,582.78 = 1,657.90 : x
  2. Step 2: Convert to fraction form
    2,386.90/3,582.78 = 1,657.90/x
  3. Step 3: Cross multiply
    2,386.90x = 3,582.78 × 1,657.90
  4. Step 4: Simplify right side
    2,386.90x = 5,939,890.96
  5. Step 5: Solve for x
    x = 5,939,890.96/2,386.90
  6. Step 6: Final answer
    x = 2,488.54

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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.