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Finding the Fourth Proportional to 938.76, 1,291.86 and 911.50

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Solution

The fourth proportional to 938.76, 1,291.86 and 911.50 is: 1,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.76 : 1,291.86 = 911.50 : x
  2. Step 2: Convert to fraction form
    938.76/1,291.86 = 911.50/x
  3. Step 3: Cross multiply
    938.76x = 1,291.86 × 911.50
  4. Step 4: Simplify right side
    938.76x = 1,177,530.39
  5. Step 5: Solve for x
    x = 1,177,530.39/938.76
  6. Step 6: Final answer
    x = 1,254.35

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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.