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Finding the Fourth Proportional to 9,300.02, 12,758.11 and 9,019.08

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Solution

The fourth proportional to 9,300.02, 12,758.11 and 9,019.08 is: 12,372.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.02 : 12,758.11 = 9,019.08 : x
  2. Step 2: Convert to fraction form
    9,300.02/12,758.11 = 9,019.08/x
  3. Step 3: Cross multiply
    9,300.02x = 12,758.11 × 9,019.08
  4. Step 4: Simplify right side
    9,300.02x = 115,066,392.19
  5. Step 5: Solve for x
    x = 115,066,392.19/9,300.02
  6. Step 6: Final answer
    x = 12,372.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.