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Finding the Fourth Proportional to 19,574, 29,354.84 and 6,423.28

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Solution

The fourth proportional to 19,574, 29,354.84 and 6,423.28 is: 9,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574 : 29,354.84 = 6,423.28 : x
  2. Step 2: Convert to fraction form
    19,574/29,354.84 = 6,423.28/x
  3. Step 3: Cross multiply
    19,574x = 29,354.84 × 6,423.28
  4. Step 4: Simplify right side
    19,574x = 188,554,356.68
  5. Step 5: Solve for x
    x = 188,554,356.68/19,574
  6. Step 6: Final answer
    x = 9,632.90

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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.