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Finding the Fourth Proportional to 8,281.76, 11,429.76 and 4,745.52

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Solution

The fourth proportional to 8,281.76, 11,429.76 and 4,745.52 is: 6,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.76 : 11,429.76 = 4,745.52 : x
  2. Step 2: Convert to fraction form
    8,281.76/11,429.76 = 4,745.52/x
  3. Step 3: Cross multiply
    8,281.76x = 11,429.76 × 4,745.52
  4. Step 4: Simplify right side
    8,281.76x = 54,240,154.68
  5. Step 5: Solve for x
    x = 54,240,154.68/8,281.76
  6. Step 6: Final answer
    x = 6,549.35

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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.