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Finding the Fourth Proportional to 7,806.86, 10,774.78 and 6,140.96

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Solution

The fourth proportional to 7,806.86, 10,774.78 and 6,140.96 is: 8,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.86 : 10,774.78 = 6,140.96 : x
  2. Step 2: Convert to fraction form
    7,806.86/10,774.78 = 6,140.96/x
  3. Step 3: Cross multiply
    7,806.86x = 10,774.78 × 6,140.96
  4. Step 4: Simplify right side
    7,806.86x = 66,167,423.76
  5. Step 5: Solve for x
    x = 66,167,423.76/7,806.86
  6. Step 6: Final answer
    x = 8,475.55

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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.