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Finding the Fourth Proportional to 9,402.65, 12,968.17 and 7,991

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Solution

The fourth proportional to 9,402.65, 12,968.17 and 7,991 is: 11,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.65 : 12,968.17 = 7,991 : x
  2. Step 2: Convert to fraction form
    9,402.65/12,968.17 = 7,991/x
  3. Step 3: Cross multiply
    9,402.65x = 12,968.17 × 7,991
  4. Step 4: Simplify right side
    9,402.65x = 103,628,646.47
  5. Step 5: Solve for x
    x = 103,628,646.47/9,402.65
  6. Step 6: Final answer
    x = 11,021.22

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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.