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Finding the Fourth Proportional to 13,538.64, 18,692 and 8,509.76

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Solution

The fourth proportional to 13,538.64, 18,692 and 8,509.76 is: 11,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.64 : 18,692 = 8,509.76 : x
  2. Step 2: Convert to fraction form
    13,538.64/18,692 = 8,509.76/x
  3. Step 3: Cross multiply
    13,538.64x = 18,692 × 8,509.76
  4. Step 4: Simplify right side
    13,538.64x = 159,064,433.92
  5. Step 5: Solve for x
    x = 159,064,433.92/13,538.64
  6. Step 6: Final answer
    x = 11,748.92

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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.