Home / 1,567.16-2,349.64-786.60

Finding the Fourth Proportional to 1,567.16, 2,349.64 and 786.60

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Solution

The fourth proportional to 1,567.16, 2,349.64 and 786.60 is: 1,179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.16 : 2,349.64 = 786.60 : x
  2. Step 2: Convert to fraction form
    1,567.16/2,349.64 = 786.60/x
  3. Step 3: Cross multiply
    1,567.16x = 2,349.64 × 786.60
  4. Step 4: Simplify right side
    1,567.16x = 1,848,227.79
  5. Step 5: Solve for x
    x = 1,848,227.79/1,567.16
  6. Step 6: Final answer
    x = 1,179.35

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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.