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Finding the Fourth Proportional to 13,001.76, 17,936.64 and 8,284.32

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Solution

The fourth proportional to 13,001.76, 17,936.64 and 8,284.32 is: 11,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.76 : 17,936.64 = 8,284.32 : x
  2. Step 2: Convert to fraction form
    13,001.76/17,936.64 = 8,284.32/x
  3. Step 3: Cross multiply
    13,001.76x = 17,936.64 × 8,284.32
  4. Step 4: Simplify right side
    13,001.76x = 148,592,865.48
  5. Step 5: Solve for x
    x = 148,592,865.48/13,001.76
  6. Step 6: Final answer
    x = 11,428.67

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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.