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Finding the Fourth Proportional to 12,108.64, 18,165.88 and 4,210

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Solution

The fourth proportional to 12,108.64, 18,165.88 and 4,210 is: 6,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,108.64 : 18,165.88 = 4,210 : x
  2. Step 2: Convert to fraction form
    12,108.64/18,165.88 = 4,210/x
  3. Step 3: Cross multiply
    12,108.64x = 18,165.88 × 4,210
  4. Step 4: Simplify right side
    12,108.64x = 76,478,354.80
  5. Step 5: Solve for x
    x = 76,478,354.80/12,108.64
  6. Step 6: Final answer
    x = 6,316.02

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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.