Home / 1,567.34-2,349.28-786.09

Finding the Fourth Proportional to 1,567.34, 2,349.28 and 786.09

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Solution

The fourth proportional to 1,567.34, 2,349.28 and 786.09 is: 1,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.34 : 2,349.28 = 786.09 : x
  2. Step 2: Convert to fraction form
    1,567.34/2,349.28 = 786.09/x
  3. Step 3: Cross multiply
    1,567.34x = 2,349.28 × 786.09
  4. Step 4: Simplify right side
    1,567.34x = 1,846,745.52
  5. Step 5: Solve for x
    x = 1,846,745.52/1,567.34
  6. Step 6: Final answer
    x = 1,178.27

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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.