Home / 5,109.66-7,664.52-1,412.08

Finding the Fourth Proportional to 5,109.66, 7,664.52 and 1,412.08

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Solution

The fourth proportional to 5,109.66, 7,664.52 and 1,412.08 is: 2,118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.66 : 7,664.52 = 1,412.08 : x
  2. Step 2: Convert to fraction form
    5,109.66/7,664.52 = 1,412.08/x
  3. Step 3: Cross multiply
    5,109.66x = 7,664.52 × 1,412.08
  4. Step 4: Simplify right side
    5,109.66x = 10,822,915.40
  5. Step 5: Solve for x
    x = 10,822,915.40/5,109.66
  6. Step 6: Final answer
    x = 2,118.13

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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.