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Finding the Fourth Proportional to 9,802.94, 14,702.87 and 8,147.69

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Solution

The fourth proportional to 9,802.94, 14,702.87 and 8,147.69 is: 12,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.94 : 14,702.87 = 8,147.69 : x
  2. Step 2: Convert to fraction form
    9,802.94/14,702.87 = 8,147.69/x
  3. Step 3: Cross multiply
    9,802.94x = 14,702.87 × 8,147.69
  4. Step 4: Simplify right side
    9,802.94x = 119,794,422.89
  5. Step 5: Solve for x
    x = 119,794,422.89/9,802.94
  6. Step 6: Final answer
    x = 12,220.25

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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.