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Finding the Fourth Proportional to 2,602.44, 3,590.10 and 1,773

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Solution

The fourth proportional to 2,602.44, 3,590.10 and 1,773 is: 2,445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.44 : 3,590.10 = 1,773 : x
  2. Step 2: Convert to fraction form
    2,602.44/3,590.10 = 1,773/x
  3. Step 3: Cross multiply
    2,602.44x = 3,590.10 × 1,773
  4. Step 4: Simplify right side
    2,602.44x = 6,365,247.30
  5. Step 5: Solve for x
    x = 6,365,247.30/2,602.44
  6. Step 6: Final answer
    x = 2,445.88

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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.