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Finding the Fourth Proportional to 1,421.39, 1,962.12 and 955.91

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Solution

The fourth proportional to 1,421.39, 1,962.12 and 955.91 is: 1,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.39 : 1,962.12 = 955.91 : x
  2. Step 2: Convert to fraction form
    1,421.39/1,962.12 = 955.91/x
  3. Step 3: Cross multiply
    1,421.39x = 1,962.12 × 955.91
  4. Step 4: Simplify right side
    1,421.39x = 1,875,595.54
  5. Step 5: Solve for x
    x = 1,875,595.54/1,421.39
  6. Step 6: Final answer
    x = 1,319.55

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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.