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Finding the Fourth Proportional to 19,470, 29,217.96 and 7,158

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Solution

The fourth proportional to 19,470, 29,217.96 and 7,158 is: 10,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,470 : 29,217.96 = 7,158 : x
  2. Step 2: Convert to fraction form
    19,470/29,217.96 = 7,158/x
  3. Step 3: Cross multiply
    19,470x = 29,217.96 × 7,158
  4. Step 4: Simplify right side
    19,470x = 209,142,157.68
  5. Step 5: Solve for x
    x = 209,142,157.68/19,470
  6. Step 6: Final answer
    x = 10,741.76

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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.