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Finding the Fourth Proportional to 1,982,405.76, 2,735,666.79 and 1,166,657.49

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Solution

The fourth proportional to 1,982,405.76, 2,735,666.79 and 1,166,657.49 is: 1,609,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982,405.76 : 2,735,666.79 = 1,166,657.49 : x
  2. Step 2: Convert to fraction form
    1,982,405.76/2,735,666.79 = 1,166,657.49/x
  3. Step 3: Cross multiply
    1,982,405.76x = 2,735,666.79 × 1,166,657.49
  4. Step 4: Simplify right side
    1,982,405.76x = 3,191,586,150,697.76
  5. Step 5: Solve for x
    x = 3,191,586,150,697.76/1,982,405.76
  6. Step 6: Final answer
    x = 1,609,956.05

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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.