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Finding the Fourth Proportional to 4,747, 6,550.88 and 3,178.84

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Solution

The fourth proportional to 4,747, 6,550.88 and 3,178.84 is: 4,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747 : 6,550.88 = 3,178.84 : x
  2. Step 2: Convert to fraction form
    4,747/6,550.88 = 3,178.84/x
  3. Step 3: Cross multiply
    4,747x = 6,550.88 × 3,178.84
  4. Step 4: Simplify right side
    4,747x = 20,824,199.38
  5. Step 5: Solve for x
    x = 20,824,199.38/4,747
  6. Step 6: Final answer
    x = 4,386.81

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.