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Finding the Fourth Proportional to 12,785.76, 17,639.28 and 7,820.64

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Solution

The fourth proportional to 12,785.76, 17,639.28 and 7,820.64 is: 10,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.76 : 17,639.28 = 7,820.64 : x
  2. Step 2: Convert to fraction form
    12,785.76/17,639.28 = 7,820.64/x
  3. Step 3: Cross multiply
    12,785.76x = 17,639.28 × 7,820.64
  4. Step 4: Simplify right side
    12,785.76x = 137,950,458.74
  5. Step 5: Solve for x
    x = 137,950,458.74/12,785.76
  6. Step 6: Final answer
    x = 10,789.38

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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.