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Finding the Fourth Proportional to 10,579.31, 15,846.64 and 8,487.99

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Solution

The fourth proportional to 10,579.31, 15,846.64 and 8,487.99 is: 12,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579.31 : 15,846.64 = 8,487.99 : x
  2. Step 2: Convert to fraction form
    10,579.31/15,846.64 = 8,487.99/x
  3. Step 3: Cross multiply
    10,579.31x = 15,846.64 × 8,487.99
  4. Step 4: Simplify right side
    10,579.31x = 134,506,100.63
  5. Step 5: Solve for x
    x = 134,506,100.63/10,579.31
  6. Step 6: Final answer
    x = 12,714.07

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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.