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Finding the Fourth Proportional to 9,113.57, 12,582.54 and 7,438.97

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Solution

The fourth proportional to 9,113.57, 12,582.54 and 7,438.97 is: 10,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.57 : 12,582.54 = 7,438.97 : x
  2. Step 2: Convert to fraction form
    9,113.57/12,582.54 = 7,438.97/x
  3. Step 3: Cross multiply
    9,113.57x = 12,582.54 × 7,438.97
  4. Step 4: Simplify right side
    9,113.57x = 93,601,137.58
  5. Step 5: Solve for x
    x = 93,601,137.58/9,113.57
  6. Step 6: Final answer
    x = 10,270.52

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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.