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Finding the Fourth Proportional to 8,174.40, 12,269.52 and 7,730.40

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Solution

The fourth proportional to 8,174.40, 12,269.52 and 7,730.40 is: 11,603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.40 : 12,269.52 = 7,730.40 : x
  2. Step 2: Convert to fraction form
    8,174.40/12,269.52 = 7,730.40/x
  3. Step 3: Cross multiply
    8,174.40x = 12,269.52 × 7,730.40
  4. Step 4: Simplify right side
    8,174.40x = 94,848,297.41
  5. Step 5: Solve for x
    x = 94,848,297.41/8,174.40
  6. Step 6: Final answer
    x = 11,603.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.