Home / 1,457.30-2,009.58-1,142

Finding the Fourth Proportional to 1,457.30, 2,009.58 and 1,142

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Solution

The fourth proportional to 1,457.30, 2,009.58 and 1,142 is: 1,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.30 : 2,009.58 = 1,142 : x
  2. Step 2: Convert to fraction form
    1,457.30/2,009.58 = 1,142/x
  3. Step 3: Cross multiply
    1,457.30x = 2,009.58 × 1,142
  4. Step 4: Simplify right side
    1,457.30x = 2,294,940.36
  5. Step 5: Solve for x
    x = 2,294,940.36/1,457.30
  6. Step 6: Final answer
    x = 1,574.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.