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Finding the Fourth Proportional to 9,955.92, 13,736.32 and 6,421.16

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Solution

The fourth proportional to 9,955.92, 13,736.32 and 6,421.16 is: 8,859.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.92 : 13,736.32 = 6,421.16 : x
  2. Step 2: Convert to fraction form
    9,955.92/13,736.32 = 6,421.16/x
  3. Step 3: Cross multiply
    9,955.92x = 13,736.32 × 6,421.16
  4. Step 4: Simplify right side
    9,955.92x = 88,203,108.53
  5. Step 5: Solve for x
    x = 88,203,108.53/9,955.92
  6. Step 6: Final answer
    x = 8,859.36

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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.