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Finding the Fourth Proportional to 7,969, 10,986.66 and 6,965.16

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Solution

The fourth proportional to 7,969, 10,986.66 and 6,965.16 is: 9,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969 : 10,986.66 = 6,965.16 : x
  2. Step 2: Convert to fraction form
    7,969/10,986.66 = 6,965.16/x
  3. Step 3: Cross multiply
    7,969x = 10,986.66 × 6,965.16
  4. Step 4: Simplify right side
    7,969x = 76,523,844.77
  5. Step 5: Solve for x
    x = 76,523,844.77/7,969
  6. Step 6: Final answer
    x = 9,602.69

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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.