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Finding the Fourth Proportional to 8,181.48, 11,280.48 and 6,920.28

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Solution

The fourth proportional to 8,181.48, 11,280.48 and 6,920.28 is: 9,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.48 : 11,280.48 = 6,920.28 : x
  2. Step 2: Convert to fraction form
    8,181.48/11,280.48 = 6,920.28/x
  3. Step 3: Cross multiply
    8,181.48x = 11,280.48 × 6,920.28
  4. Step 4: Simplify right side
    8,181.48x = 78,064,080.13
  5. Step 5: Solve for x
    x = 78,064,080.13/8,181.48
  6. Step 6: Final answer
    x = 9,541.56

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1.5x scale

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.