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Finding the Fourth Proportional to 11,703.63, 16,147.76 and 6,986.19

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Solution

The fourth proportional to 11,703.63, 16,147.76 and 6,986.19 is: 9,639.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.63 : 16,147.76 = 6,986.19 : x
  2. Step 2: Convert to fraction form
    11,703.63/16,147.76 = 6,986.19/x
  3. Step 3: Cross multiply
    11,703.63x = 16,147.76 × 6,986.19
  4. Step 4: Simplify right side
    11,703.63x = 112,811,284.50
  5. Step 5: Solve for x
    x = 112,811,284.50/11,703.63
  6. Step 6: Final answer
    x = 9,639.00

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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.