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Finding the Fourth Proportional to 12,102, 18,152.10 and 4,705.80

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Solution

The fourth proportional to 12,102, 18,152.10 and 4,705.80 is: 7,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102 : 18,152.10 = 4,705.80 : x
  2. Step 2: Convert to fraction form
    12,102/18,152.10 = 4,705.80/x
  3. Step 3: Cross multiply
    12,102x = 18,152.10 × 4,705.80
  4. Step 4: Simplify right side
    12,102x = 85,420,152.18
  5. Step 5: Solve for x
    x = 85,420,152.18/12,102
  6. Step 6: Final answer
    x = 7,058.35

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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.