Home / 7,710.47-11,564.77-2,164.26

Finding the Fourth Proportional to 7,710.47, 11,564.77 and 2,164.26

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Solution

The fourth proportional to 7,710.47, 11,564.77 and 2,164.26 is: 3,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.47 : 11,564.77 = 2,164.26 : x
  2. Step 2: Convert to fraction form
    7,710.47/11,564.77 = 2,164.26/x
  3. Step 3: Cross multiply
    7,710.47x = 11,564.77 × 2,164.26
  4. Step 4: Simplify right side
    7,710.47x = 25,029,169.12
  5. Step 5: Solve for x
    x = 25,029,169.12/7,710.47
  6. Step 6: Final answer
    x = 3,246.13

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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.