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Finding the Fourth Proportional to 2,461, 3,688.96 and 1,365.88

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Solution

The fourth proportional to 2,461, 3,688.96 and 1,365.88 is: 2,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461 : 3,688.96 = 1,365.88 : x
  2. Step 2: Convert to fraction form
    2,461/3,688.96 = 1,365.88/x
  3. Step 3: Cross multiply
    2,461x = 3,688.96 × 1,365.88
  4. Step 4: Simplify right side
    2,461x = 5,038,676.68
  5. Step 5: Solve for x
    x = 5,038,676.68/2,461
  6. Step 6: Final answer
    x = 2,047.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.