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Finding the Fourth Proportional to 8,155.76, 11,254.95 and 4,429.76

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Solution

The fourth proportional to 8,155.76, 11,254.95 and 4,429.76 is: 6,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.76 : 11,254.95 = 4,429.76 : x
  2. Step 2: Convert to fraction form
    8,155.76/11,254.95 = 4,429.76/x
  3. Step 3: Cross multiply
    8,155.76x = 11,254.95 × 4,429.76
  4. Step 4: Simplify right side
    8,155.76x = 49,856,671.04
  5. Step 5: Solve for x
    x = 49,856,671.04/8,155.76
  6. Step 6: Final answer
    x = 6,113.07

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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.