Home / 1,457.15-2,181.43-962.65

Finding the Fourth Proportional to 1,457.15, 2,181.43 and 962.65

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Solution

The fourth proportional to 1,457.15, 2,181.43 and 962.65 is: 1,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.15 : 2,181.43 = 962.65 : x
  2. Step 2: Convert to fraction form
    1,457.15/2,181.43 = 962.65/x
  3. Step 3: Cross multiply
    1,457.15x = 2,181.43 × 962.65
  4. Step 4: Simplify right side
    1,457.15x = 2,099,953.59
  5. Step 5: Solve for x
    x = 2,099,953.59/1,457.15
  6. Step 6: Final answer
    x = 1,441.14

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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.