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Finding the Fourth Proportional to 19,415, 29,122.77 and 5,564

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Solution

The fourth proportional to 19,415, 29,122.77 and 5,564 is: 8,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,415 : 29,122.77 = 5,564 : x
  2. Step 2: Convert to fraction form
    19,415/29,122.77 = 5,564/x
  3. Step 3: Cross multiply
    19,415x = 29,122.77 × 5,564
  4. Step 4: Simplify right side
    19,415x = 162,039,092.28
  5. Step 5: Solve for x
    x = 162,039,092.28/19,415
  6. Step 6: Final answer
    x = 8,346.08

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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.