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Finding the Fourth Proportional to 2,361.69, 3,259.14 and 1,313.75

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Solution

The fourth proportional to 2,361.69, 3,259.14 and 1,313.75 is: 1,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.69 : 3,259.14 = 1,313.75 : x
  2. Step 2: Convert to fraction form
    2,361.69/3,259.14 = 1,313.75/x
  3. Step 3: Cross multiply
    2,361.69x = 3,259.14 × 1,313.75
  4. Step 4: Simplify right side
    2,361.69x = 4,281,695.18
  5. Step 5: Solve for x
    x = 4,281,695.18/2,361.69
  6. Step 6: Final answer
    x = 1,812.98

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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.