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Finding the Fourth Proportional to 9,029.44, 12,463.04 and 8,478.72

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Solution

The fourth proportional to 9,029.44, 12,463.04 and 8,478.72 is: 11,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.44 : 12,463.04 = 8,478.72 : x
  2. Step 2: Convert to fraction form
    9,029.44/12,463.04 = 8,478.72/x
  3. Step 3: Cross multiply
    9,029.44x = 12,463.04 × 8,478.72
  4. Step 4: Simplify right side
    9,029.44x = 105,670,626.51
  5. Step 5: Solve for x
    x = 105,670,626.51/9,029.44
  6. Step 6: Final answer
    x = 11,702.90

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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.