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Finding the Fourth Proportional to 8,469.69, 12,702.13 and 5,345.01

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Solution

The fourth proportional to 8,469.69, 12,702.13 and 5,345.01 is: 8,016.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.69 : 12,702.13 = 5,345.01 : x
  2. Step 2: Convert to fraction form
    8,469.69/12,702.13 = 5,345.01/x
  3. Step 3: Cross multiply
    8,469.69x = 12,702.13 × 5,345.01
  4. Step 4: Simplify right side
    8,469.69x = 67,893,056.99
  5. Step 5: Solve for x
    x = 67,893,056.99/8,469.69
  6. Step 6: Final answer
    x = 8,016.00

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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.