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Finding the Fourth Proportional to 1,777.50, 2,447.15 and 1,544.54

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Solution

The fourth proportional to 1,777.50, 2,447.15 and 1,544.54 is: 2,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.50 : 2,447.15 = 1,544.54 : x
  2. Step 2: Convert to fraction form
    1,777.50/2,447.15 = 1,544.54/x
  3. Step 3: Cross multiply
    1,777.50x = 2,447.15 × 1,544.54
  4. Step 4: Simplify right side
    1,777.50x = 3,779,701.10
  5. Step 5: Solve for x
    x = 3,779,701.10/1,777.50
  6. Step 6: Final answer
    x = 2,126.41

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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.