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Finding the Fourth Proportional to 4,543, 6,814.56 and 1,256.35

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Solution

The fourth proportional to 4,543, 6,814.56 and 1,256.35 is: 1,884.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543 : 6,814.56 = 1,256.35 : x
  2. Step 2: Convert to fraction form
    4,543/6,814.56 = 1,256.35/x
  3. Step 3: Cross multiply
    4,543x = 6,814.56 × 1,256.35
  4. Step 4: Simplify right side
    4,543x = 8,561,472.46
  5. Step 5: Solve for x
    x = 8,561,472.46/4,543
  6. Step 6: Final answer
    x = 1,884.54

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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.