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Finding the Fourth Proportional to 7,968, 10,985.28 and 6,964.16

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Solution

The fourth proportional to 7,968, 10,985.28 and 6,964.16 is: 9,601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968 : 10,985.28 = 6,964.16 : x
  2. Step 2: Convert to fraction form
    7,968/10,985.28 = 6,964.16/x
  3. Step 3: Cross multiply
    7,968x = 10,985.28 × 6,964.16
  4. Step 4: Simplify right side
    7,968x = 76,503,247.56
  5. Step 5: Solve for x
    x = 76,503,247.56/7,968
  6. Step 6: Final answer
    x = 9,601.31

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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.