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Finding the Fourth Proportional to 11,459.58, 15,814.80 and 6,424.08

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Solution

The fourth proportional to 11,459.58, 15,814.80 and 6,424.08 is: 8,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.58 : 15,814.80 = 6,424.08 : x
  2. Step 2: Convert to fraction form
    11,459.58/15,814.80 = 6,424.08/x
  3. Step 3: Cross multiply
    11,459.58x = 15,814.80 × 6,424.08
  4. Step 4: Simplify right side
    11,459.58x = 101,595,540.38
  5. Step 5: Solve for x
    x = 101,595,540.38/11,459.58
  6. Step 6: Final answer
    x = 8,865.56

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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.