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Finding the Fourth Proportional to 7,808.68, 10,775.90 and 4,271.96

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Solution

The fourth proportional to 7,808.68, 10,775.90 and 4,271.96 is: 5,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.68 : 10,775.90 = 4,271.96 : x
  2. Step 2: Convert to fraction form
    7,808.68/10,775.90 = 4,271.96/x
  3. Step 3: Cross multiply
    7,808.68x = 10,775.90 × 4,271.96
  4. Step 4: Simplify right side
    7,808.68x = 46,034,213.76
  5. Step 5: Solve for x
    x = 46,034,213.76/7,808.68
  6. Step 6: Final answer
    x = 5,895.26

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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.