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Finding the Fourth Proportional to 8,776.69, 13,156.16 and 3,782.32

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Solution

The fourth proportional to 8,776.69, 13,156.16 and 3,782.32 is: 5,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,776.69 : 13,156.16 = 3,782.32 : x
  2. Step 2: Convert to fraction form
    8,776.69/13,156.16 = 3,782.32/x
  3. Step 3: Cross multiply
    8,776.69x = 13,156.16 × 3,782.32
  4. Step 4: Simplify right side
    8,776.69x = 49,760,807.09
  5. Step 5: Solve for x
    x = 49,760,807.09/8,776.69
  6. Step 6: Final answer
    x = 5,669.66

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1.5x scale

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.