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Finding the Fourth Proportional to 7,808.68, 10,776.13 and 4,272.12

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Solution

The fourth proportional to 7,808.68, 10,776.13 and 4,272.12 is: 5,895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.68 : 10,776.13 = 4,272.12 : x
  2. Step 2: Convert to fraction form
    7,808.68/10,776.13 = 4,272.12/x
  3. Step 3: Cross multiply
    7,808.68x = 10,776.13 × 4,272.12
  4. Step 4: Simplify right side
    7,808.68x = 46,036,909.82
  5. Step 5: Solve for x
    x = 46,036,909.82/7,808.68
  6. Step 6: Final answer
    x = 5,895.61

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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.