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Finding the Fourth Proportional to 12,295.86, 16,969.72 and 6,991.47

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Solution

The fourth proportional to 12,295.86, 16,969.72 and 6,991.47 is: 9,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.86 : 16,969.72 = 6,991.47 : x
  2. Step 2: Convert to fraction form
    12,295.86/16,969.72 = 6,991.47/x
  3. Step 3: Cross multiply
    12,295.86x = 16,969.72 × 6,991.47
  4. Step 4: Simplify right side
    12,295.86x = 118,643,288.29
  5. Step 5: Solve for x
    x = 118,643,288.29/12,295.86
  6. Step 6: Final answer
    x = 9,649.04

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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.