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Finding the Fourth Proportional to 1,807.63, 2,494.53 and 979.63

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Solution

The fourth proportional to 1,807.63, 2,494.53 and 979.63 is: 1,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.63 : 2,494.53 = 979.63 : x
  2. Step 2: Convert to fraction form
    1,807.63/2,494.53 = 979.63/x
  3. Step 3: Cross multiply
    1,807.63x = 2,494.53 × 979.63
  4. Step 4: Simplify right side
    1,807.63x = 2,443,699.05
  5. Step 5: Solve for x
    x = 2,443,699.05/1,807.63
  6. Step 6: Final answer
    x = 1,351.88

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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.