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Finding the Fourth Proportional to 1,764.31, 2,434.74 and 967.63

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Solution

The fourth proportional to 1,764.31, 2,434.74 and 967.63 is: 1,335.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.31 : 2,434.74 = 967.63 : x
  2. Step 2: Convert to fraction form
    1,764.31/2,434.74 = 967.63/x
  3. Step 3: Cross multiply
    1,764.31x = 2,434.74 × 967.63
  4. Step 4: Simplify right side
    1,764.31x = 2,355,927.47
  5. Step 5: Solve for x
    x = 2,355,927.47/1,764.31
  6. Step 6: Final answer
    x = 1,335.33

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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.