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Finding the Fourth Proportional to 9,313, 12,849.06 and 6,170.92

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Solution

The fourth proportional to 9,313, 12,849.06 and 6,170.92 is: 8,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313 : 12,849.06 = 6,170.92 : x
  2. Step 2: Convert to fraction form
    9,313/12,849.06 = 6,170.92/x
  3. Step 3: Cross multiply
    9,313x = 12,849.06 × 6,170.92
  4. Step 4: Simplify right side
    9,313x = 79,290,521.34
  5. Step 5: Solve for x
    x = 79,290,521.34/9,313
  6. Step 6: Final answer
    x = 8,513.96

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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.