Home / 3,057.60-4,586.43-977.64

Finding the Fourth Proportional to 3,057.60, 4,586.43 and 977.64

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Solution

The fourth proportional to 3,057.60, 4,586.43 and 977.64 is: 1,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.60 : 4,586.43 = 977.64 : x
  2. Step 2: Convert to fraction form
    3,057.60/4,586.43 = 977.64/x
  3. Step 3: Cross multiply
    3,057.60x = 4,586.43 × 977.64
  4. Step 4: Simplify right side
    3,057.60x = 4,483,877.43
  5. Step 5: Solve for x
    x = 4,483,877.43/3,057.60
  6. Step 6: Final answer
    x = 1,466.47

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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.