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Finding the Fourth Proportional to 7,856.42, 11,806.23 and 7,342.70

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Solution

The fourth proportional to 7,856.42, 11,806.23 and 7,342.70 is: 11,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.42 : 11,806.23 = 7,342.70 : x
  2. Step 2: Convert to fraction form
    7,856.42/11,806.23 = 7,342.70/x
  3. Step 3: Cross multiply
    7,856.42x = 11,806.23 × 7,342.70
  4. Step 4: Simplify right side
    7,856.42x = 86,689,605.02
  5. Step 5: Solve for x
    x = 86,689,605.02/7,856.42
  6. Step 6: Final answer
    x = 11,034.24

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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.