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Finding the Fourth Proportional to 1,579.04, 2,178.96 and 981.60

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Solution

The fourth proportional to 1,579.04, 2,178.96 and 981.60 is: 1,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.04 : 2,178.96 = 981.60 : x
  2. Step 2: Convert to fraction form
    1,579.04/2,178.96 = 981.60/x
  3. Step 3: Cross multiply
    1,579.04x = 2,178.96 × 981.60
  4. Step 4: Simplify right side
    1,579.04x = 2,138,867.14
  5. Step 5: Solve for x
    x = 2,138,867.14/1,579.04
  6. Step 6: Final answer
    x = 1,354.54

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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.