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Finding the Fourth Proportional to 13,729.32, 18,946.44 and 7,679.88

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Solution

The fourth proportional to 13,729.32, 18,946.44 and 7,679.88 is: 10,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.32 : 18,946.44 = 7,679.88 : x
  2. Step 2: Convert to fraction form
    13,729.32/18,946.44 = 7,679.88/x
  3. Step 3: Cross multiply
    13,729.32x = 18,946.44 × 7,679.88
  4. Step 4: Simplify right side
    13,729.32x = 145,506,385.63
  5. Step 5: Solve for x
    x = 145,506,385.63/13,729.32
  6. Step 6: Final answer
    x = 10,598.22

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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.