Home / 1,977.81-2,960.28-1,457.60

Finding the Fourth Proportional to 1,977.81, 2,960.28 and 1,457.60

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Solution

The fourth proportional to 1,977.81, 2,960.28 and 1,457.60 is: 2,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.81 : 2,960.28 = 1,457.60 : x
  2. Step 2: Convert to fraction form
    1,977.81/2,960.28 = 1,457.60/x
  3. Step 3: Cross multiply
    1,977.81x = 2,960.28 × 1,457.60
  4. Step 4: Simplify right side
    1,977.81x = 4,314,896.84
  5. Step 5: Solve for x
    x = 4,314,896.84/1,977.81
  6. Step 6: Final answer
    x = 2,181.66

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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.