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Finding the Fourth Proportional to 1,461.60, 2,016.90 and 832.11

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Solution

The fourth proportional to 1,461.60, 2,016.90 and 832.11 is: 1,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.60 : 2,016.90 = 832.11 : x
  2. Step 2: Convert to fraction form
    1,461.60/2,016.90 = 832.11/x
  3. Step 3: Cross multiply
    1,461.60x = 2,016.90 × 832.11
  4. Step 4: Simplify right side
    1,461.60x = 1,678,282.66
  5. Step 5: Solve for x
    x = 1,678,282.66/1,461.60
  6. Step 6: Final answer
    x = 1,148.25

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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.