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Finding the Fourth Proportional to 10,486.90, 15,711.72 and 5,559.94

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Solution

The fourth proportional to 10,486.90, 15,711.72 and 5,559.94 is: 8,330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.90 : 15,711.72 = 5,559.94 : x
  2. Step 2: Convert to fraction form
    10,486.90/15,711.72 = 5,559.94/x
  3. Step 3: Cross multiply
    10,486.90x = 15,711.72 × 5,559.94
  4. Step 4: Simplify right side
    10,486.90x = 87,356,220.50
  5. Step 5: Solve for x
    x = 87,356,220.50/10,486.90
  6. Step 6: Final answer
    x = 8,330.03

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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.