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Finding the Fourth Proportional to 1,563.96, 2,158.10 and 934.40

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Solution

The fourth proportional to 1,563.96, 2,158.10 and 934.40 is: 1,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.96 : 2,158.10 = 934.40 : x
  2. Step 2: Convert to fraction form
    1,563.96/2,158.10 = 934.40/x
  3. Step 3: Cross multiply
    1,563.96x = 2,158.10 × 934.40
  4. Step 4: Simplify right side
    1,563.96x = 2,016,528.29
  5. Step 5: Solve for x
    x = 2,016,528.29/1,563.96
  6. Step 6: Final answer
    x = 1,289.37

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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.