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Finding the Fourth Proportional to 14,046.64, 19,383.76 and 7,758.88

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Solution

The fourth proportional to 14,046.64, 19,383.76 and 7,758.88 is: 10,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.64 : 19,383.76 = 7,758.88 : x
  2. Step 2: Convert to fraction form
    14,046.64/19,383.76 = 7,758.88/x
  3. Step 3: Cross multiply
    14,046.64x = 19,383.76 × 7,758.88
  4. Step 4: Simplify right side
    14,046.64x = 150,396,267.79
  5. Step 5: Solve for x
    x = 150,396,267.79/14,046.64
  6. Step 6: Final answer
    x = 10,706.92

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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.