Home / 1,762.20-2,641.36-837.16

Finding the Fourth Proportional to 1,762.20, 2,641.36 and 837.16

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Solution

The fourth proportional to 1,762.20, 2,641.36 and 837.16 is: 1,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.20 : 2,641.36 = 837.16 : x
  2. Step 2: Convert to fraction form
    1,762.20/2,641.36 = 837.16/x
  3. Step 3: Cross multiply
    1,762.20x = 2,641.36 × 837.16
  4. Step 4: Simplify right side
    1,762.20x = 2,211,240.94
  5. Step 5: Solve for x
    x = 2,211,240.94/1,762.20
  6. Step 6: Final answer
    x = 1,254.82

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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.