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Finding the Fourth Proportional to 5,256.85, 7,256.64 and 3,490.84

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Solution

The fourth proportional to 5,256.85, 7,256.64 and 3,490.84 is: 4,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.85 : 7,256.64 = 3,490.84 : x
  2. Step 2: Convert to fraction form
    5,256.85/7,256.64 = 3,490.84/x
  3. Step 3: Cross multiply
    5,256.85x = 7,256.64 × 3,490.84
  4. Step 4: Simplify right side
    5,256.85x = 25,331,769.18
  5. Step 5: Solve for x
    x = 25,331,769.18/5,256.85
  6. Step 6: Final answer
    x = 4,818.81

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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.