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Finding the Fourth Proportional to 9,313, 12,859.62 and 8,147.56

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Solution

The fourth proportional to 9,313, 12,859.62 and 8,147.56 is: 11,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313 : 12,859.62 = 8,147.56 : x
  2. Step 2: Convert to fraction form
    9,313/12,859.62 = 8,147.56/x
  3. Step 3: Cross multiply
    9,313x = 12,859.62 × 8,147.56
  4. Step 4: Simplify right side
    9,313x = 104,774,525.53
  5. Step 5: Solve for x
    x = 104,774,525.53/9,313
  6. Step 6: Final answer
    x = 11,250.35

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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.