Home / 1,111.82-1,537.26-973.40

Finding the Fourth Proportional to 1,111.82, 1,537.26 and 973.40

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Solution

The fourth proportional to 1,111.82, 1,537.26 and 973.40 is: 1,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.82 : 1,537.26 = 973.40 : x
  2. Step 2: Convert to fraction form
    1,111.82/1,537.26 = 973.40/x
  3. Step 3: Cross multiply
    1,111.82x = 1,537.26 × 973.40
  4. Step 4: Simplify right side
    1,111.82x = 1,496,368.88
  5. Step 5: Solve for x
    x = 1,496,368.88/1,111.82
  6. Step 6: Final answer
    x = 1,345.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.