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Finding the Fourth Proportional to 11,459.84, 15,814.56 and 6,424.06

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Solution

The fourth proportional to 11,459.84, 15,814.56 and 6,424.06 is: 8,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.84 : 15,814.56 = 6,424.06 : x
  2. Step 2: Convert to fraction form
    11,459.84/15,814.56 = 6,424.06/x
  3. Step 3: Cross multiply
    11,459.84x = 15,814.56 × 6,424.06
  4. Step 4: Simplify right side
    11,459.84x = 101,593,650.19
  5. Step 5: Solve for x
    x = 101,593,650.19/11,459.84
  6. Step 6: Final answer
    x = 8,865.19

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