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Finding the Fourth Proportional to 2,460, 3,390.84 and 1,795.80

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Solution

The fourth proportional to 2,460, 3,390.84 and 1,795.80 is: 2,475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460 : 3,390.84 = 1,795.80 : x
  2. Step 2: Convert to fraction form
    2,460/3,390.84 = 1,795.80/x
  3. Step 3: Cross multiply
    2,460x = 3,390.84 × 1,795.80
  4. Step 4: Simplify right side
    2,460x = 6,089,270.47
  5. Step 5: Solve for x
    x = 6,089,270.47/2,460
  6. Step 6: Final answer
    x = 2,475.31

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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.