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Finding the Fourth Proportional to 2,775.72, 4,163.47 and 1,542.35

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Solution

The fourth proportional to 2,775.72, 4,163.47 and 1,542.35 is: 2,313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.72 : 4,163.47 = 1,542.35 : x
  2. Step 2: Convert to fraction form
    2,775.72/4,163.47 = 1,542.35/x
  3. Step 3: Cross multiply
    2,775.72x = 4,163.47 × 1,542.35
  4. Step 4: Simplify right side
    2,775.72x = 6,421,534.51
  5. Step 5: Solve for x
    x = 6,421,534.51/2,775.72
  6. Step 6: Final answer
    x = 2,313.46

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1.5x scale

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.