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Finding the Fourth Proportional to 4,778.56, 7,165.12 and 1,656.96

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Solution

The fourth proportional to 4,778.56, 7,165.12 and 1,656.96 is: 2,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.56 : 7,165.12 = 1,656.96 : x
  2. Step 2: Convert to fraction form
    4,778.56/7,165.12 = 1,656.96/x
  3. Step 3: Cross multiply
    4,778.56x = 7,165.12 × 1,656.96
  4. Step 4: Simplify right side
    4,778.56x = 11,872,317.24
  5. Step 5: Solve for x
    x = 11,872,317.24/4,778.56
  6. Step 6: Final answer
    x = 2,484.50

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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.