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Finding the Fourth Proportional to 13,590.40, 18,758.64 and 8,004.64

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Solution

The fourth proportional to 13,590.40, 18,758.64 and 8,004.64 is: 11,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590.40 : 18,758.64 = 8,004.64 : x
  2. Step 2: Convert to fraction form
    13,590.40/18,758.64 = 8,004.64/x
  3. Step 3: Cross multiply
    13,590.40x = 18,758.64 × 8,004.64
  4. Step 4: Simplify right side
    13,590.40x = 150,156,160.09
  5. Step 5: Solve for x
    x = 150,156,160.09/13,590.40
  6. Step 6: Final answer
    x = 11,048.69

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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.