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Finding the Fourth Proportional to 7,805.06, 11,700.90 and 3,419.18

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Solution

The fourth proportional to 7,805.06, 11,700.90 and 3,419.18 is: 5,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.06 : 11,700.90 = 3,419.18 : x
  2. Step 2: Convert to fraction form
    7,805.06/11,700.90 = 3,419.18/x
  3. Step 3: Cross multiply
    7,805.06x = 11,700.90 × 3,419.18
  4. Step 4: Simplify right side
    7,805.06x = 40,007,483.26
  5. Step 5: Solve for x
    x = 40,007,483.26/7,805.06
  6. Step 6: Final answer
    x = 5,125.84

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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.