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Finding the Fourth Proportional to 19,377, 29,065.78 and 5,526

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Solution

The fourth proportional to 19,377, 29,065.78 and 5,526 is: 8,289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,377 : 29,065.78 = 5,526 : x
  2. Step 2: Convert to fraction form
    19,377/29,065.78 = 5,526/x
  3. Step 3: Cross multiply
    19,377x = 29,065.78 × 5,526
  4. Step 4: Simplify right side
    19,377x = 160,617,500.28
  5. Step 5: Solve for x
    x = 160,617,500.28/19,377
  6. Step 6: Final answer
    x = 8,289.08

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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.