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Finding the Fourth Proportional to 1,807.64, 2,494.53 and 979.64

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Solution

The fourth proportional to 1,807.64, 2,494.53 and 979.64 is: 1,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.64 : 2,494.53 = 979.64 : x
  2. Step 2: Convert to fraction form
    1,807.64/2,494.53 = 979.64/x
  3. Step 3: Cross multiply
    1,807.64x = 2,494.53 × 979.64
  4. Step 4: Simplify right side
    1,807.64x = 2,443,741.37
  5. Step 5: Solve for x
    x = 2,443,741.37/1,807.64
  6. Step 6: Final answer
    x = 1,351.90

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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.