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Finding the Fourth Proportional to 13,397.76, 18,475.76 and 12,338.28

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Solution

The fourth proportional to 13,397.76, 18,475.76 and 12,338.28 is: 17,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,397.76 : 18,475.76 = 12,338.28 : x
  2. Step 2: Convert to fraction form
    13,397.76/18,475.76 = 12,338.28/x
  3. Step 3: Cross multiply
    13,397.76x = 18,475.76 × 12,338.28
  4. Step 4: Simplify right side
    13,397.76x = 227,959,038.40
  5. Step 5: Solve for x
    x = 227,959,038.40/13,397.76
  6. Step 6: Final answer
    x = 17,014.71

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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.