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Finding the Fourth Proportional to 20,154.44, 30,236.06 and 8,461

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Solution

The fourth proportional to 20,154.44, 30,236.06 and 8,461 is: 12,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154.44 : 30,236.06 = 8,461 : x
  2. Step 2: Convert to fraction form
    20,154.44/30,236.06 = 8,461/x
  3. Step 3: Cross multiply
    20,154.44x = 30,236.06 × 8,461
  4. Step 4: Simplify right side
    20,154.44x = 255,827,303.66
  5. Step 5: Solve for x
    x = 255,827,303.66/20,154.44
  6. Step 6: Final answer
    x = 12,693.35

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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.