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Finding the Fourth Proportional to 9,423.40, 13,004.04 and 5,174.40

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Solution

The fourth proportional to 9,423.40, 13,004.04 and 5,174.40 is: 7,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.40 : 13,004.04 = 5,174.40 : x
  2. Step 2: Convert to fraction form
    9,423.40/13,004.04 = 5,174.40/x
  3. Step 3: Cross multiply
    9,423.40x = 13,004.04 × 5,174.40
  4. Step 4: Simplify right side
    9,423.40x = 67,288,104.58
  5. Step 5: Solve for x
    x = 67,288,104.58/9,423.40
  6. Step 6: Final answer
    x = 7,140.53

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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.