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Finding the Fourth Proportional to 17,130.78, 23,655 and 14,313.19

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Solution

The fourth proportional to 17,130.78, 23,655 and 14,313.19 is: 19,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,130.78 : 23,655 = 14,313.19 : x
  2. Step 2: Convert to fraction form
    17,130.78/23,655 = 14,313.19/x
  3. Step 3: Cross multiply
    17,130.78x = 23,655 × 14,313.19
  4. Step 4: Simplify right side
    17,130.78x = 338,578,509.45
  5. Step 5: Solve for x
    x = 338,578,509.45/17,130.78
  6. Step 6: Final answer
    x = 19,764.34

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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.