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Finding the Fourth Proportional to 9,808.65, 14,712.30 and 3,145.05

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Solution

The fourth proportional to 9,808.65, 14,712.30 and 3,145.05 is: 4,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.65 : 14,712.30 = 3,145.05 : x
  2. Step 2: Convert to fraction form
    9,808.65/14,712.30 = 3,145.05/x
  3. Step 3: Cross multiply
    9,808.65x = 14,712.30 × 3,145.05
  4. Step 4: Simplify right side
    9,808.65x = 46,270,919.12
  5. Step 5: Solve for x
    x = 46,270,919.12/9,808.65
  6. Step 6: Final answer
    x = 4,717.36

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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.