Home / 1,237.10-1,852.00-1,029.78

Finding the Fourth Proportional to 1,237.10, 1,852.00 and 1,029.78

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Solution

The fourth proportional to 1,237.10, 1,852.00 and 1,029.78 is: 1,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.10 : 1,852.00 = 1,029.78 : x
  2. Step 2: Convert to fraction form
    1,237.10/1,852.00 = 1,029.78/x
  3. Step 3: Cross multiply
    1,237.10x = 1,852.00 × 1,029.78
  4. Step 4: Simplify right side
    1,237.10x = 1,907,149.99
  5. Step 5: Solve for x
    x = 1,907,149.99/1,237.10
  6. Step 6: Final answer
    x = 1,541.64

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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.