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Finding the Fourth Proportional to 9,388.74, 12,957.12 and 5,197.26

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Solution

The fourth proportional to 9,388.74, 12,957.12 and 5,197.26 is: 7,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.74 : 12,957.12 = 5,197.26 : x
  2. Step 2: Convert to fraction form
    9,388.74/12,957.12 = 5,197.26/x
  3. Step 3: Cross multiply
    9,388.74x = 12,957.12 × 5,197.26
  4. Step 4: Simplify right side
    9,388.74x = 67,341,521.49
  5. Step 5: Solve for x
    x = 67,341,521.49/9,388.74
  6. Step 6: Final answer
    x = 7,172.58

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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.