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Finding the Fourth Proportional to 4,678.96, 7,024.60 and 3,645.60

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Solution

The fourth proportional to 4,678.96, 7,024.60 and 3,645.60 is: 5,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.96 : 7,024.60 = 3,645.60 : x
  2. Step 2: Convert to fraction form
    4,678.96/7,024.60 = 3,645.60/x
  3. Step 3: Cross multiply
    4,678.96x = 7,024.60 × 3,645.60
  4. Step 4: Simplify right side
    4,678.96x = 25,608,881.76
  5. Step 5: Solve for x
    x = 25,608,881.76/4,678.96
  6. Step 6: Final answer
    x = 5,473.20

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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.