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Finding the Fourth Proportional to 13,492.56, 18,621.98 and 7,830.66

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Solution

The fourth proportional to 13,492.56, 18,621.98 and 7,830.66 is: 10,807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.56 : 18,621.98 = 7,830.66 : x
  2. Step 2: Convert to fraction form
    13,492.56/18,621.98 = 7,830.66/x
  3. Step 3: Cross multiply
    13,492.56x = 18,621.98 × 7,830.66
  4. Step 4: Simplify right side
    13,492.56x = 145,822,354.75
  5. Step 5: Solve for x
    x = 145,822,354.75/13,492.56
  6. Step 6: Final answer
    x = 10,807.61

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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.