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Finding the Fourth Proportional to 11,695.80, 16,140.18 and 6,980.08

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Solution

The fourth proportional to 11,695.80, 16,140.18 and 6,980.08 is: 9,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.80 : 16,140.18 = 6,980.08 : x
  2. Step 2: Convert to fraction form
    11,695.80/16,140.18 = 6,980.08/x
  3. Step 3: Cross multiply
    11,695.80x = 16,140.18 × 6,980.08
  4. Step 4: Simplify right side
    11,695.80x = 112,659,747.61
  5. Step 5: Solve for x
    x = 112,659,747.61/11,695.80
  6. Step 6: Final answer
    x = 9,632.50

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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.