Home / 3,927.48-5,420-2,159.16

Finding the Fourth Proportional to 3,927.48, 5,420 and 2,159.16

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Solution

The fourth proportional to 3,927.48, 5,420 and 2,159.16 is: 2,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.48 : 5,420 = 2,159.16 : x
  2. Step 2: Convert to fraction form
    3,927.48/5,420 = 2,159.16/x
  3. Step 3: Cross multiply
    3,927.48x = 5,420 × 2,159.16
  4. Step 4: Simplify right side
    3,927.48x = 11,702,647.20
  5. Step 5: Solve for x
    x = 11,702,647.20/3,927.48
  6. Step 6: Final answer
    x = 2,979.68

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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.