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Finding the Fourth Proportional to 7,681.64, 11,513.34 and 6,795.90

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Solution

The fourth proportional to 7,681.64, 11,513.34 and 6,795.90 is: 10,185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.64 : 11,513.34 = 6,795.90 : x
  2. Step 2: Convert to fraction form
    7,681.64/11,513.34 = 6,795.90/x
  3. Step 3: Cross multiply
    7,681.64x = 11,513.34 × 6,795.90
  4. Step 4: Simplify right side
    7,681.64x = 78,243,507.31
  5. Step 5: Solve for x
    x = 78,243,507.31/7,681.64
  6. Step 6: Final answer
    x = 10,185.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.