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Finding the Fourth Proportional to 30,475.71, 45,691.70 and 12,935.97

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Solution

The fourth proportional to 30,475.71, 45,691.70 and 12,935.97 is: 19,394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.71 : 45,691.70 = 12,935.97 : x
  2. Step 2: Convert to fraction form
    30,475.71/45,691.70 = 12,935.97/x
  3. Step 3: Cross multiply
    30,475.71x = 45,691.70 × 12,935.97
  4. Step 4: Simplify right side
    30,475.71x = 591,066,395.77
  5. Step 5: Solve for x
    x = 591,066,395.77/30,475.71
  6. Step 6: Final answer
    x = 19,394.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.