Home / 11,180-15,424.47-6,705.20

Finding the Fourth Proportional to 11,180, 15,424.47 and 6,705.20

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Solution

The fourth proportional to 11,180, 15,424.47 and 6,705.20 is: 9,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180 : 15,424.47 = 6,705.20 : x
  2. Step 2: Convert to fraction form
    11,180/15,424.47 = 6,705.20/x
  3. Step 3: Cross multiply
    11,180x = 15,424.47 × 6,705.20
  4. Step 4: Simplify right side
    11,180x = 103,424,156.24
  5. Step 5: Solve for x
    x = 103,424,156.24/11,180
  6. Step 6: Final answer
    x = 9,250.82

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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.