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Finding the Fourth Proportional to 9,387.84, 12,969.12 and 7,969.14

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Solution

The fourth proportional to 9,387.84, 12,969.12 and 7,969.14 is: 11,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.84 : 12,969.12 = 7,969.14 : x
  2. Step 2: Convert to fraction form
    9,387.84/12,969.12 = 7,969.14/x
  3. Step 3: Cross multiply
    9,387.84x = 12,969.12 × 7,969.14
  4. Step 4: Simplify right side
    9,387.84x = 103,352,732.96
  5. Step 5: Solve for x
    x = 103,352,732.96/9,387.84
  6. Step 6: Final answer
    x = 11,009.21

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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.