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Finding the Fourth Proportional to 7,856.93, 11,775.36 and 3,687.74

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Solution

The fourth proportional to 7,856.93, 11,775.36 and 3,687.74 is: 5,526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.93 : 11,775.36 = 3,687.74 : x
  2. Step 2: Convert to fraction form
    7,856.93/11,775.36 = 3,687.74/x
  3. Step 3: Cross multiply
    7,856.93x = 11,775.36 × 3,687.74
  4. Step 4: Simplify right side
    7,856.93x = 43,424,407.21
  5. Step 5: Solve for x
    x = 43,424,407.21/7,856.93
  6. Step 6: Final answer
    x = 5,526.90

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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.