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Finding the Fourth Proportional to 11,459.88, 15,814.04 and 7,211.84

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Solution

The fourth proportional to 11,459.88, 15,814.04 and 7,211.84 is: 9,951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.88 : 15,814.04 = 7,211.84 : x
  2. Step 2: Convert to fraction form
    11,459.88/15,814.04 = 7,211.84/x
  3. Step 3: Cross multiply
    11,459.88x = 15,814.04 × 7,211.84
  4. Step 4: Simplify right side
    11,459.88x = 114,048,211.10
  5. Step 5: Solve for x
    x = 114,048,211.10/11,459.88
  6. Step 6: Final answer
    x = 9,951.96

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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.