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Finding the Fourth Proportional to 2,313.62, 3,470.84 and 753.46

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Solution

The fourth proportional to 2,313.62, 3,470.84 and 753.46 is: 1,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.62 : 3,470.84 = 753.46 : x
  2. Step 2: Convert to fraction form
    2,313.62/3,470.84 = 753.46/x
  3. Step 3: Cross multiply
    2,313.62x = 3,470.84 × 753.46
  4. Step 4: Simplify right side
    2,313.62x = 2,615,142.50
  5. Step 5: Solve for x
    x = 2,615,142.50/2,313.62
  6. Step 6: Final answer
    x = 1,130.32

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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.