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Finding the Fourth Proportional to 11,784.83, 17,651.12 and 6,842.21

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Solution

The fourth proportional to 11,784.83, 17,651.12 and 6,842.21 is: 10,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.83 : 17,651.12 = 6,842.21 : x
  2. Step 2: Convert to fraction form
    11,784.83/17,651.12 = 6,842.21/x
  3. Step 3: Cross multiply
    11,784.83x = 17,651.12 × 6,842.21
  4. Step 4: Simplify right side
    11,784.83x = 120,772,547.31
  5. Step 5: Solve for x
    x = 120,772,547.31/11,784.83
  6. Step 6: Final answer
    x = 10,248.14

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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.