Home / 2,627.11-3,942-1,457.14

Finding the Fourth Proportional to 2,627.11, 3,942 and 1,457.14

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Solution

The fourth proportional to 2,627.11, 3,942 and 1,457.14 is: 2,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.11 : 3,942 = 1,457.14 : x
  2. Step 2: Convert to fraction form
    2,627.11/3,942 = 1,457.14/x
  3. Step 3: Cross multiply
    2,627.11x = 3,942 × 1,457.14
  4. Step 4: Simplify right side
    2,627.11x = 5,744,045.88
  5. Step 5: Solve for x
    x = 5,744,045.88/2,627.11
  6. Step 6: Final answer
    x = 2,186.45

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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.