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Finding the Fourth Proportional to 7,808.16, 11,712.12 and 1,964.76

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Solution

The fourth proportional to 7,808.16, 11,712.12 and 1,964.76 is: 2,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.16 : 11,712.12 = 1,964.76 : x
  2. Step 2: Convert to fraction form
    7,808.16/11,712.12 = 1,964.76/x
  3. Step 3: Cross multiply
    7,808.16x = 11,712.12 × 1,964.76
  4. Step 4: Simplify right side
    7,808.16x = 23,011,504.89
  5. Step 5: Solve for x
    x = 23,011,504.89/7,808.16
  6. Step 6: Final answer
    x = 2,947.11

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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.