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Finding the Fourth Proportional to 2,477.50, 3,419.76 and 1,780.90

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Solution

The fourth proportional to 2,477.50, 3,419.76 and 1,780.90 is: 2,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.50 : 3,419.76 = 1,780.90 : x
  2. Step 2: Convert to fraction form
    2,477.50/3,419.76 = 1,780.90/x
  3. Step 3: Cross multiply
    2,477.50x = 3,419.76 × 1,780.90
  4. Step 4: Simplify right side
    2,477.50x = 6,090,250.58
  5. Step 5: Solve for x
    x = 6,090,250.58/2,477.50
  6. Step 6: Final answer
    x = 2,458.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.