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Finding the Fourth Proportional to 7,656.42, 11,484.66 and 2,109.66

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Solution

The fourth proportional to 7,656.42, 11,484.66 and 2,109.66 is: 3,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.42 : 11,484.66 = 2,109.66 : x
  2. Step 2: Convert to fraction form
    7,656.42/11,484.66 = 2,109.66/x
  3. Step 3: Cross multiply
    7,656.42x = 11,484.66 × 2,109.66
  4. Step 4: Simplify right side
    7,656.42x = 24,228,727.82
  5. Step 5: Solve for x
    x = 24,228,727.82/7,656.42
  6. Step 6: Final answer
    x = 3,164.50

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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.