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Finding the Fourth Proportional to 9,130.33, 13,668.81 and 8,254.85

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Solution

The fourth proportional to 9,130.33, 13,668.81 and 8,254.85 is: 12,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.33 : 13,668.81 = 8,254.85 : x
  2. Step 2: Convert to fraction form
    9,130.33/13,668.81 = 8,254.85/x
  3. Step 3: Cross multiply
    9,130.33x = 13,668.81 × 8,254.85
  4. Step 4: Simplify right side
    9,130.33x = 112,833,928.19
  5. Step 5: Solve for x
    x = 112,833,928.19/9,130.33
  6. Step 6: Final answer
    x = 12,358.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.