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Finding the Fourth Proportional to 17,280.80, 23,825.70 and 11,303

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Solution

The fourth proportional to 17,280.80, 23,825.70 and 11,303 is: 15,583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,280.80 : 23,825.70 = 11,303 : x
  2. Step 2: Convert to fraction form
    17,280.80/23,825.70 = 11,303/x
  3. Step 3: Cross multiply
    17,280.80x = 23,825.70 × 11,303
  4. Step 4: Simplify right side
    17,280.80x = 269,301,887.10
  5. Step 5: Solve for x
    x = 269,301,887.10/17,280.80
  6. Step 6: Final answer
    x = 15,583.88

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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.