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Finding the Fourth Proportional to 19,672, 27,170.72 and 13,373.76

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Solution

The fourth proportional to 19,672, 27,170.72 and 13,373.76 is: 18,471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672 : 27,170.72 = 13,373.76 : x
  2. Step 2: Convert to fraction form
    19,672/27,170.72 = 13,373.76/x
  3. Step 3: Cross multiply
    19,672x = 27,170.72 × 13,373.76
  4. Step 4: Simplify right side
    19,672x = 363,374,688.31
  5. Step 5: Solve for x
    x = 363,374,688.31/19,672
  6. Step 6: Final answer
    x = 18,471.67

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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.