Home / 1,649.63-2,461.91-1,582.64

Finding the Fourth Proportional to 1,649.63, 2,461.91 and 1,582.64

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Solution

The fourth proportional to 1,649.63, 2,461.91 and 1,582.64 is: 2,361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.63 : 2,461.91 = 1,582.64 : x
  2. Step 2: Convert to fraction form
    1,649.63/2,461.91 = 1,582.64/x
  3. Step 3: Cross multiply
    1,649.63x = 2,461.91 × 1,582.64
  4. Step 4: Simplify right side
    1,649.63x = 3,896,297.02
  5. Step 5: Solve for x
    x = 3,896,297.02/1,649.63
  6. Step 6: Final answer
    x = 2,361.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.