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Finding the Fourth Proportional to 9,806.78, 13,542.99 and 7,113.26

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Solution

The fourth proportional to 9,806.78, 13,542.99 and 7,113.26 is: 9,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.78 : 13,542.99 = 7,113.26 : x
  2. Step 2: Convert to fraction form
    9,806.78/13,542.99 = 7,113.26/x
  3. Step 3: Cross multiply
    9,806.78x = 13,542.99 × 7,113.26
  4. Step 4: Simplify right side
    9,806.78x = 96,334,809.05
  5. Step 5: Solve for x
    x = 96,334,809.05/9,806.78
  6. Step 6: Final answer
    x = 9,823.29

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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.