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Finding the Fourth Proportional to 3,159.57, 4,359 and 1,978.59

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Solution

The fourth proportional to 3,159.57, 4,359 and 1,978.59 is: 2,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.57 : 4,359 = 1,978.59 : x
  2. Step 2: Convert to fraction form
    3,159.57/4,359 = 1,978.59/x
  3. Step 3: Cross multiply
    3,159.57x = 4,359 × 1,978.59
  4. Step 4: Simplify right side
    3,159.57x = 8,624,673.81
  5. Step 5: Solve for x
    x = 8,624,673.81/3,159.57
  6. Step 6: Final answer
    x = 2,729.70

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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.