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Finding the Fourth Proportional to 1,458.53, 2,187.77 and 841.84

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Solution

The fourth proportional to 1,458.53, 2,187.77 and 841.84 is: 1,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.53 : 2,187.77 = 841.84 : x
  2. Step 2: Convert to fraction form
    1,458.53/2,187.77 = 841.84/x
  3. Step 3: Cross multiply
    1,458.53x = 2,187.77 × 841.84
  4. Step 4: Simplify right side
    1,458.53x = 1,841,748.93
  5. Step 5: Solve for x
    x = 1,841,748.93/1,458.53
  6. Step 6: Final answer
    x = 1,262.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.