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Finding the Fourth Proportional to 5,047.04, 6,964.98 and 2,778.64

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Solution

The fourth proportional to 5,047.04, 6,964.98 and 2,778.64 is: 3,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.04 : 6,964.98 = 2,778.64 : x
  2. Step 2: Convert to fraction form
    5,047.04/6,964.98 = 2,778.64/x
  3. Step 3: Cross multiply
    5,047.04x = 6,964.98 × 2,778.64
  4. Step 4: Simplify right side
    5,047.04x = 19,353,144.19
  5. Step 5: Solve for x
    x = 19,353,144.19/5,047.04
  6. Step 6: Final answer
    x = 3,834.55

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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.