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Finding the Fourth Proportional to 13,240.64, 19,865.28 and 6,314.24

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Solution

The fourth proportional to 13,240.64, 19,865.28 and 6,314.24 is: 9,473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,240.64 : 19,865.28 = 6,314.24 : x
  2. Step 2: Convert to fraction form
    13,240.64/19,865.28 = 6,314.24/x
  3. Step 3: Cross multiply
    13,240.64x = 19,865.28 × 6,314.24
  4. Step 4: Simplify right side
    13,240.64x = 125,434,145.59
  5. Step 5: Solve for x
    x = 125,434,145.59/13,240.64
  6. Step 6: Final answer
    x = 9,473.42

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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.