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Finding the Fourth Proportional to 1,406.84, 1,942.10 and 989.39

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Solution

The fourth proportional to 1,406.84, 1,942.10 and 989.39 is: 1,365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.84 : 1,942.10 = 989.39 : x
  2. Step 2: Convert to fraction form
    1,406.84/1,942.10 = 989.39/x
  3. Step 3: Cross multiply
    1,406.84x = 1,942.10 × 989.39
  4. Step 4: Simplify right side
    1,406.84x = 1,921,479.66
  5. Step 5: Solve for x
    x = 1,921,479.66/1,406.84
  6. Step 6: Final answer
    x = 1,365.82

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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.