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Finding the Fourth Proportional to 2,911.76, 4,018.12 and 1,585.46

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Solution

The fourth proportional to 2,911.76, 4,018.12 and 1,585.46 is: 2,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.76 : 4,018.12 = 1,585.46 : x
  2. Step 2: Convert to fraction form
    2,911.76/4,018.12 = 1,585.46/x
  3. Step 3: Cross multiply
    2,911.76x = 4,018.12 × 1,585.46
  4. Step 4: Simplify right side
    2,911.76x = 6,370,568.54
  5. Step 5: Solve for x
    x = 6,370,568.54/2,911.76
  6. Step 6: Final answer
    x = 2,187.88

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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.