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Finding the Fourth Proportional to 10,815.75, 14,925.75 and 5,847.75

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Solution

The fourth proportional to 10,815.75, 14,925.75 and 5,847.75 is: 8,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.75 : 14,925.75 = 5,847.75 : x
  2. Step 2: Convert to fraction form
    10,815.75/14,925.75 = 5,847.75/x
  3. Step 3: Cross multiply
    10,815.75x = 14,925.75 × 5,847.75
  4. Step 4: Simplify right side
    10,815.75x = 87,282,054.56
  5. Step 5: Solve for x
    x = 87,282,054.56/10,815.75
  6. Step 6: Final answer
    x = 8,069.90

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1.5x scale

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.