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Finding the Fourth Proportional to 19,493.84, 29,238 and 6,346.40

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Solution

The fourth proportional to 19,493.84, 29,238 and 6,346.40 is: 9,518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,493.84 : 29,238 = 6,346.40 : x
  2. Step 2: Convert to fraction form
    19,493.84/29,238 = 6,346.40/x
  3. Step 3: Cross multiply
    19,493.84x = 29,238 × 6,346.40
  4. Step 4: Simplify right side
    19,493.84x = 185,556,043.20
  5. Step 5: Solve for x
    x = 185,556,043.20/19,493.84
  6. Step 6: Final answer
    x = 9,518.70

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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.