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Finding the Fourth Proportional to 10,550, 14,559 and 6,359.12

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Solution

The fourth proportional to 10,550, 14,559 and 6,359.12 is: 8,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550 : 14,559 = 6,359.12 : x
  2. Step 2: Convert to fraction form
    10,550/14,559 = 6,359.12/x
  3. Step 3: Cross multiply
    10,550x = 14,559 × 6,359.12
  4. Step 4: Simplify right side
    10,550x = 92,582,428.08
  5. Step 5: Solve for x
    x = 92,582,428.08/10,550
  6. Step 6: Final answer
    x = 8,775.59

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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.