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Finding the Fourth Proportional to 1,421.67, 1,962.12 and 832.13

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Solution

The fourth proportional to 1,421.67, 1,962.12 and 832.13 is: 1,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.67 : 1,962.12 = 832.13 : x
  2. Step 2: Convert to fraction form
    1,421.67/1,962.12 = 832.13/x
  3. Step 3: Cross multiply
    1,421.67x = 1,962.12 × 832.13
  4. Step 4: Simplify right side
    1,421.67x = 1,632,738.92
  5. Step 5: Solve for x
    x = 1,632,738.92/1,421.67
  6. Step 6: Final answer
    x = 1,148.47

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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.