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Finding the Fourth Proportional to 11,429.66, 15,773.18 and 8,078.38

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Solution

The fourth proportional to 11,429.66, 15,773.18 and 8,078.38 is: 11,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.66 : 15,773.18 = 8,078.38 : x
  2. Step 2: Convert to fraction form
    11,429.66/15,773.18 = 8,078.38/x
  3. Step 3: Cross multiply
    11,429.66x = 15,773.18 × 8,078.38
  4. Step 4: Simplify right side
    11,429.66x = 127,421,741.85
  5. Step 5: Solve for x
    x = 127,421,741.85/11,429.66
  6. Step 6: Final answer
    x = 11,148.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.