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Finding the Fourth Proportional to 9,917.48, 13,684.64 and 6,385.48

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Solution

The fourth proportional to 9,917.48, 13,684.64 and 6,385.48 is: 8,811.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.48 : 13,684.64 = 6,385.48 : x
  2. Step 2: Convert to fraction form
    9,917.48/13,684.64 = 6,385.48/x
  3. Step 3: Cross multiply
    9,917.48x = 13,684.64 × 6,385.48
  4. Step 4: Simplify right side
    9,917.48x = 87,382,928.89
  5. Step 5: Solve for x
    x = 87,382,928.89/9,917.48
  6. Step 6: Final answer
    x = 8,811.00

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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.