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Finding the Fourth Proportional to 3,164.74, 4,747.10 and 856.24

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Solution

The fourth proportional to 3,164.74, 4,747.10 and 856.24 is: 1,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.74 : 4,747.10 = 856.24 : x
  2. Step 2: Convert to fraction form
    3,164.74/4,747.10 = 856.24/x
  3. Step 3: Cross multiply
    3,164.74x = 4,747.10 × 856.24
  4. Step 4: Simplify right side
    3,164.74x = 4,064,640.76
  5. Step 5: Solve for x
    x = 4,064,640.76/3,164.74
  6. Step 6: Final answer
    x = 1,284.35

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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.