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Finding the Fourth Proportional to 8,788, 13,180.50 and 3,856.32

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Solution

The fourth proportional to 8,788, 13,180.50 and 3,856.32 is: 5,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,788 : 13,180.50 = 3,856.32 : x
  2. Step 2: Convert to fraction form
    8,788/13,180.50 = 3,856.32/x
  3. Step 3: Cross multiply
    8,788x = 13,180.50 × 3,856.32
  4. Step 4: Simplify right side
    8,788x = 50,828,225.76
  5. Step 5: Solve for x
    x = 50,828,225.76/8,788
  6. Step 6: Final answer
    x = 5,783.82

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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.