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Finding the Fourth Proportional to 4,578.21, 6,865.29 and 1,457.19

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Solution

The fourth proportional to 4,578.21, 6,865.29 and 1,457.19 is: 2,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.21 : 6,865.29 = 1,457.19 : x
  2. Step 2: Convert to fraction form
    4,578.21/6,865.29 = 1,457.19/x
  3. Step 3: Cross multiply
    4,578.21x = 6,865.29 × 1,457.19
  4. Step 4: Simplify right side
    4,578.21x = 10,004,031.94
  5. Step 5: Solve for x
    x = 10,004,031.94/4,578.21
  6. Step 6: Final answer
    x = 2,185.14

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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.