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Finding the Fourth Proportional to 1,447.61, 1,998.65 and 1,110.89

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Solution

The fourth proportional to 1,447.61, 1,998.65 and 1,110.89 is: 1,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.61 : 1,998.65 = 1,110.89 : x
  2. Step 2: Convert to fraction form
    1,447.61/1,998.65 = 1,110.89/x
  3. Step 3: Cross multiply
    1,447.61x = 1,998.65 × 1,110.89
  4. Step 4: Simplify right side
    1,447.61x = 2,220,288.07
  5. Step 5: Solve for x
    x = 2,220,288.07/1,447.61
  6. Step 6: Final answer
    x = 1,533.77

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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.