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Finding the Fourth Proportional to 9,151.54, 13,728.13 and 2,577.80

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Solution

The fourth proportional to 9,151.54, 13,728.13 and 2,577.80 is: 3,866.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.54 : 13,728.13 = 2,577.80 : x
  2. Step 2: Convert to fraction form
    9,151.54/13,728.13 = 2,577.80/x
  3. Step 3: Cross multiply
    9,151.54x = 13,728.13 × 2,577.80
  4. Step 4: Simplify right side
    9,151.54x = 35,388,373.51
  5. Step 5: Solve for x
    x = 35,388,373.51/9,151.54
  6. Step 6: Final answer
    x = 3,866.93

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1.5x scale

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.