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Finding the Fourth Proportional to 9,286.87, 12,800.90 and 7,605.31

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Solution

The fourth proportional to 9,286.87, 12,800.90 and 7,605.31 is: 10,483.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.87 : 12,800.90 = 7,605.31 : x
  2. Step 2: Convert to fraction form
    9,286.87/12,800.90 = 7,605.31/x
  3. Step 3: Cross multiply
    9,286.87x = 12,800.90 × 7,605.31
  4. Step 4: Simplify right side
    9,286.87x = 97,354,812.78
  5. Step 5: Solve for x
    x = 97,354,812.78/9,286.87
  6. Step 6: Final answer
    x = 10,483.06

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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.