Home / 1,567.46-2,163.52-977.64

Finding the Fourth Proportional to 1,567.46, 2,163.52 and 977.64

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Solution

The fourth proportional to 1,567.46, 2,163.52 and 977.64 is: 1,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.46 : 2,163.52 = 977.64 : x
  2. Step 2: Convert to fraction form
    1,567.46/2,163.52 = 977.64/x
  3. Step 3: Cross multiply
    1,567.46x = 2,163.52 × 977.64
  4. Step 4: Simplify right side
    1,567.46x = 2,115,143.69
  5. Step 5: Solve for x
    x = 2,115,143.69/1,567.46
  6. Step 6: Final answer
    x = 1,349.41

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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.