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Finding the Fourth Proportional to 7,865.10, 11,801.74 and 3,188.56

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Solution

The fourth proportional to 7,865.10, 11,801.74 and 3,188.56 is: 4,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.10 : 11,801.74 = 3,188.56 : x
  2. Step 2: Convert to fraction form
    7,865.10/11,801.74 = 3,188.56/x
  3. Step 3: Cross multiply
    7,865.10x = 11,801.74 × 3,188.56
  4. Step 4: Simplify right side
    7,865.10x = 37,630,580.81
  5. Step 5: Solve for x
    x = 37,630,580.81/7,865.10
  6. Step 6: Final answer
    x = 4,784.50

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1.5x scale

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.