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Finding the Fourth Proportional to 7,438.80, 10,267.80 and 4,297.20

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Solution

The fourth proportional to 7,438.80, 10,267.80 and 4,297.20 is: 5,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.80 : 10,267.80 = 4,297.20 : x
  2. Step 2: Convert to fraction form
    7,438.80/10,267.80 = 4,297.20/x
  3. Step 3: Cross multiply
    7,438.80x = 10,267.80 × 4,297.20
  4. Step 4: Simplify right side
    7,438.80x = 44,122,790.16
  5. Step 5: Solve for x
    x = 44,122,790.16/7,438.80
  6. Step 6: Final answer
    x = 5,931.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.