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Finding the Fourth Proportional to 4,782, 7,173.48 and 1,705.20

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Solution

The fourth proportional to 4,782, 7,173.48 and 1,705.20 is: 2,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782 : 7,173.48 = 1,705.20 : x
  2. Step 2: Convert to fraction form
    4,782/7,173.48 = 1,705.20/x
  3. Step 3: Cross multiply
    4,782x = 7,173.48 × 1,705.20
  4. Step 4: Simplify right side
    4,782x = 12,232,218.10
  5. Step 5: Solve for x
    x = 12,232,218.10/4,782
  6. Step 6: Final answer
    x = 2,557.97

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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.