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Finding the Fourth Proportional to 8,435.76, 11,630.43 and 5,778.42

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Solution

The fourth proportional to 8,435.76, 11,630.43 and 5,778.42 is: 7,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.76 : 11,630.43 = 5,778.42 : x
  2. Step 2: Convert to fraction form
    8,435.76/11,630.43 = 5,778.42/x
  3. Step 3: Cross multiply
    8,435.76x = 11,630.43 × 5,778.42
  4. Step 4: Simplify right side
    8,435.76x = 67,205,509.32
  5. Step 5: Solve for x
    x = 67,205,509.32/8,435.76
  6. Step 6: Final answer
    x = 7,966.74

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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.