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Finding the Fourth Proportional to 7,856.10, 11,784.15 and 2,591.10

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Solution

The fourth proportional to 7,856.10, 11,784.15 and 2,591.10 is: 3,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.10 : 11,784.15 = 2,591.10 : x
  2. Step 2: Convert to fraction form
    7,856.10/11,784.15 = 2,591.10/x
  3. Step 3: Cross multiply
    7,856.10x = 11,784.15 × 2,591.10
  4. Step 4: Simplify right side
    7,856.10x = 30,533,911.07
  5. Step 5: Solve for x
    x = 30,533,911.07/7,856.10
  6. Step 6: Final answer
    x = 3,886.65

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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.