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Finding the Fourth Proportional to 2,488.40, 3,730.80 and 1,026.80

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Solution

The fourth proportional to 2,488.40, 3,730.80 and 1,026.80 is: 1,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.40 : 3,730.80 = 1,026.80 : x
  2. Step 2: Convert to fraction form
    2,488.40/3,730.80 = 1,026.80/x
  3. Step 3: Cross multiply
    2,488.40x = 3,730.80 × 1,026.80
  4. Step 4: Simplify right side
    2,488.40x = 3,830,785.44
  5. Step 5: Solve for x
    x = 3,830,785.44/2,488.40
  6. Step 6: Final answer
    x = 1,539.46

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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.