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Finding the Fourth Proportional to 11,860.88, 16,368.01 and 7,146.14

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Solution

The fourth proportional to 11,860.88, 16,368.01 and 7,146.14 is: 9,861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.88 : 16,368.01 = 7,146.14 : x
  2. Step 2: Convert to fraction form
    11,860.88/16,368.01 = 7,146.14/x
  3. Step 3: Cross multiply
    11,860.88x = 16,368.01 × 7,146.14
  4. Step 4: Simplify right side
    11,860.88x = 116,967,991.28
  5. Step 5: Solve for x
    x = 116,967,991.28/11,860.88
  6. Step 6: Final answer
    x = 9,861.67

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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.