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Finding the Fourth Proportional to 9,309.30, 12,851.37 and 7,313.46

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Solution

The fourth proportional to 9,309.30, 12,851.37 and 7,313.46 is: 10,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.30 : 12,851.37 = 7,313.46 : x
  2. Step 2: Convert to fraction form
    9,309.30/12,851.37 = 7,313.46/x
  3. Step 3: Cross multiply
    9,309.30x = 12,851.37 × 7,313.46
  4. Step 4: Simplify right side
    9,309.30x = 93,987,980.44
  5. Step 5: Solve for x
    x = 93,987,980.44/9,309.30
  6. Step 6: Final answer
    x = 10,096.14

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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.