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Finding the Fourth Proportional to 10,865.21, 14,994.05 and 6,389.15

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Solution

The fourth proportional to 10,865.21, 14,994.05 and 6,389.15 is: 8,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.21 : 14,994.05 = 6,389.15 : x
  2. Step 2: Convert to fraction form
    10,865.21/14,994.05 = 6,389.15/x
  3. Step 3: Cross multiply
    10,865.21x = 14,994.05 × 6,389.15
  4. Step 4: Simplify right side
    10,865.21x = 95,799,127.64
  5. Step 5: Solve for x
    x = 95,799,127.64/10,865.21
  6. Step 6: Final answer
    x = 8,817.06

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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.