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Finding the Fourth Proportional to 1,426.16, 1,968.06 and 836.66

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Solution

The fourth proportional to 1,426.16, 1,968.06 and 836.66 is: 1,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.16 : 1,968.06 = 836.66 : x
  2. Step 2: Convert to fraction form
    1,426.16/1,968.06 = 836.66/x
  3. Step 3: Cross multiply
    1,426.16x = 1,968.06 × 836.66
  4. Step 4: Simplify right side
    1,426.16x = 1,646,597.08
  5. Step 5: Solve for x
    x = 1,646,597.08/1,426.16
  6. Step 6: Final answer
    x = 1,154.57

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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.