Home / 2,127.12-3,192.84-973.68

Finding the Fourth Proportional to 2,127.12, 3,192.84 and 973.68

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Solution

The fourth proportional to 2,127.12, 3,192.84 and 973.68 is: 1,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.12 : 3,192.84 = 973.68 : x
  2. Step 2: Convert to fraction form
    2,127.12/3,192.84 = 973.68/x
  3. Step 3: Cross multiply
    2,127.12x = 3,192.84 × 973.68
  4. Step 4: Simplify right side
    2,127.12x = 3,108,804.45
  5. Step 5: Solve for x
    x = 3,108,804.45/2,127.12
  6. Step 6: Final answer
    x = 1,461.51

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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.