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Finding the Fourth Proportional to 13,114.70, 18,096.72 and 7,447.40

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Solution

The fourth proportional to 13,114.70, 18,096.72 and 7,447.40 is: 10,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.70 : 18,096.72 = 7,447.40 : x
  2. Step 2: Convert to fraction form
    13,114.70/18,096.72 = 7,447.40/x
  3. Step 3: Cross multiply
    13,114.70x = 18,096.72 × 7,447.40
  4. Step 4: Simplify right side
    13,114.70x = 134,773,512.53
  5. Step 5: Solve for x
    x = 134,773,512.53/13,114.70
  6. Step 6: Final answer
    x = 10,276.52

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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.