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Finding the Fourth Proportional to 19,429.74, 29,144.63 and 5,578.74

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Solution

The fourth proportional to 19,429.74, 29,144.63 and 5,578.74 is: 8,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,429.74 : 29,144.63 = 5,578.74 : x
  2. Step 2: Convert to fraction form
    19,429.74/29,144.63 = 5,578.74/x
  3. Step 3: Cross multiply
    19,429.74x = 29,144.63 × 5,578.74
  4. Step 4: Simplify right side
    19,429.74x = 162,590,313.17
  5. Step 5: Solve for x
    x = 162,590,313.17/19,429.74
  6. Step 6: Final answer
    x = 8,368.12

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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.