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Finding the Fourth Proportional to 11,647.36, 16,068 and 7,459.84

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Solution

The fourth proportional to 11,647.36, 16,068 and 7,459.84 is: 10,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.36 : 16,068 = 7,459.84 : x
  2. Step 2: Convert to fraction form
    11,647.36/16,068 = 7,459.84/x
  3. Step 3: Cross multiply
    11,647.36x = 16,068 × 7,459.84
  4. Step 4: Simplify right side
    11,647.36x = 119,864,709.12
  5. Step 5: Solve for x
    x = 119,864,709.12/11,647.36
  6. Step 6: Final answer
    x = 10,291.15

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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.