Home / 1,457.58-2,177.84-1,406.54

Finding the Fourth Proportional to 1,457.58, 2,177.84 and 1,406.54

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Solution

The fourth proportional to 1,457.58, 2,177.84 and 1,406.54 is: 2,101.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.58 : 2,177.84 = 1,406.54 : x
  2. Step 2: Convert to fraction form
    1,457.58/2,177.84 = 1,406.54/x
  3. Step 3: Cross multiply
    1,457.58x = 2,177.84 × 1,406.54
  4. Step 4: Simplify right side
    1,457.58x = 3,063,219.07
  5. Step 5: Solve for x
    x = 3,063,219.07/1,457.58
  6. Step 6: Final answer
    x = 2,101.58

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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.