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Finding the Fourth Proportional to 10,585.56, 15,878.50 and 5,039.50

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Solution

The fourth proportional to 10,585.56, 15,878.50 and 5,039.50 is: 7,559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.56 : 15,878.50 = 5,039.50 : x
  2. Step 2: Convert to fraction form
    10,585.56/15,878.50 = 5,039.50/x
  3. Step 3: Cross multiply
    10,585.56x = 15,878.50 × 5,039.50
  4. Step 4: Simplify right side
    10,585.56x = 80,019,700.75
  5. Step 5: Solve for x
    x = 80,019,700.75/10,585.56
  6. Step 6: Final answer
    x = 7,559.33

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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.