Home / 5,210.43-7,814.25-1,461.98

Finding the Fourth Proportional to 5,210.43, 7,814.25 and 1,461.98

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Solution

The fourth proportional to 5,210.43, 7,814.25 and 1,461.98 is: 2,192.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.43 : 7,814.25 = 1,461.98 : x
  2. Step 2: Convert to fraction form
    5,210.43/7,814.25 = 1,461.98/x
  3. Step 3: Cross multiply
    5,210.43x = 7,814.25 × 1,461.98
  4. Step 4: Simplify right side
    5,210.43x = 11,424,277.22
  5. Step 5: Solve for x
    x = 11,424,277.22/5,210.43
  6. Step 6: Final answer
    x = 2,192.58

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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.