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Finding the Fourth Proportional to 7,297.60, 10,946.40 and 4,178.56

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Solution

The fourth proportional to 7,297.60, 10,946.40 and 4,178.56 is: 6,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.60 : 10,946.40 = 4,178.56 : x
  2. Step 2: Convert to fraction form
    7,297.60/10,946.40 = 4,178.56/x
  3. Step 3: Cross multiply
    7,297.60x = 10,946.40 × 4,178.56
  4. Step 4: Simplify right side
    7,297.60x = 45,740,189.18
  5. Step 5: Solve for x
    x = 45,740,189.18/7,297.60
  6. Step 6: Final answer
    x = 6,267.84

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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.