Home / 3,776.32-5,664-1,178.88

Finding the Fourth Proportional to 3,776.32, 5,664 and 1,178.88

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Solution

The fourth proportional to 3,776.32, 5,664 and 1,178.88 is: 1,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.32 : 5,664 = 1,178.88 : x
  2. Step 2: Convert to fraction form
    3,776.32/5,664 = 1,178.88/x
  3. Step 3: Cross multiply
    3,776.32x = 5,664 × 1,178.88
  4. Step 4: Simplify right side
    3,776.32x = 6,677,176.32
  5. Step 5: Solve for x
    x = 6,677,176.32/3,776.32
  6. Step 6: Final answer
    x = 1,768.17

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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.