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Finding the Fourth Proportional to 9,386.82, 12,938.90 and 7,394.22

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Solution

The fourth proportional to 9,386.82, 12,938.90 and 7,394.22 is: 10,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.82 : 12,938.90 = 7,394.22 : x
  2. Step 2: Convert to fraction form
    9,386.82/12,938.90 = 7,394.22/x
  3. Step 3: Cross multiply
    9,386.82x = 12,938.90 × 7,394.22
  4. Step 4: Simplify right side
    9,386.82x = 95,673,073.16
  5. Step 5: Solve for x
    x = 95,673,073.16/9,386.82
  6. Step 6: Final answer
    x = 10,192.28

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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.