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Finding the Fourth Proportional to 1,421.36, 1,962.07 and 955.88

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Solution

The fourth proportional to 1,421.36, 1,962.07 and 955.88 is: 1,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.36 : 1,962.07 = 955.88 : x
  2. Step 2: Convert to fraction form
    1,421.36/1,962.07 = 955.88/x
  3. Step 3: Cross multiply
    1,421.36x = 1,962.07 × 955.88
  4. Step 4: Simplify right side
    1,421.36x = 1,875,493.66
  5. Step 5: Solve for x
    x = 1,875,493.66/1,421.36
  6. Step 6: Final answer
    x = 1,319.51

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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.