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Finding the Fourth Proportional to 1,262.51, 1,881.08 and 1,191.77

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Solution

The fourth proportional to 1,262.51, 1,881.08 and 1,191.77 is: 1,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.51 : 1,881.08 = 1,191.77 : x
  2. Step 2: Convert to fraction form
    1,262.51/1,881.08 = 1,191.77/x
  3. Step 3: Cross multiply
    1,262.51x = 1,881.08 × 1,191.77
  4. Step 4: Simplify right side
    1,262.51x = 2,241,814.71
  5. Step 5: Solve for x
    x = 2,241,814.71/1,262.51
  6. Step 6: Final answer
    x = 1,775.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.