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Finding the Fourth Proportional to 6,561, 9,055.62 and 4,078.44

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Solution

The fourth proportional to 6,561, 9,055.62 and 4,078.44 is: 5,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561 : 9,055.62 = 4,078.44 : x
  2. Step 2: Convert to fraction form
    6,561/9,055.62 = 4,078.44/x
  3. Step 3: Cross multiply
    6,561x = 9,055.62 × 4,078.44
  4. Step 4: Simplify right side
    6,561x = 36,932,802.83
  5. Step 5: Solve for x
    x = 36,932,802.83/6,561
  6. Step 6: Final answer
    x = 5,629.14

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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.