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Finding the Fourth Proportional to 2,315.64, 3,471.60 and 910.20

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Solution

The fourth proportional to 2,315.64, 3,471.60 and 910.20 is: 1,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.64 : 3,471.60 = 910.20 : x
  2. Step 2: Convert to fraction form
    2,315.64/3,471.60 = 910.20/x
  3. Step 3: Cross multiply
    2,315.64x = 3,471.60 × 910.20
  4. Step 4: Simplify right side
    2,315.64x = 3,159,850.32
  5. Step 5: Solve for x
    x = 3,159,850.32/2,315.64
  6. Step 6: Final answer
    x = 1,364.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.