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Finding the Fourth Proportional to 1,421.79, 1,962.68 and 956.31

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Solution

The fourth proportional to 1,421.79, 1,962.68 and 956.31 is: 1,320.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.79 : 1,962.68 = 956.31 : x
  2. Step 2: Convert to fraction form
    1,421.79/1,962.68 = 956.31/x
  3. Step 3: Cross multiply
    1,421.79x = 1,962.68 × 956.31
  4. Step 4: Simplify right side
    1,421.79x = 1,876,930.51
  5. Step 5: Solve for x
    x = 1,876,930.51/1,421.79
  6. Step 6: Final answer
    x = 1,320.12

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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.