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Finding the Fourth Proportional to 13,738.16, 18,958.92 and 8,430.32

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Solution

The fourth proportional to 13,738.16, 18,958.92 and 8,430.32 is: 11,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.16 : 18,958.92 = 8,430.32 : x
  2. Step 2: Convert to fraction form
    13,738.16/18,958.92 = 8,430.32/x
  3. Step 3: Cross multiply
    13,738.16x = 18,958.92 × 8,430.32
  4. Step 4: Simplify right side
    13,738.16x = 159,829,762.45
  5. Step 5: Solve for x
    x = 159,829,762.45/13,738.16
  6. Step 6: Final answer
    x = 11,634.00

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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.