Home / 1,157.38-1,586.93-1,142.80

Finding the Fourth Proportional to 1,157.38, 1,586.93 and 1,142.80

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Solution

The fourth proportional to 1,157.38, 1,586.93 and 1,142.80 is: 1,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.38 : 1,586.93 = 1,142.80 : x
  2. Step 2: Convert to fraction form
    1,157.38/1,586.93 = 1,142.80/x
  3. Step 3: Cross multiply
    1,157.38x = 1,586.93 × 1,142.80
  4. Step 4: Simplify right side
    1,157.38x = 1,813,543.60
  5. Step 5: Solve for x
    x = 1,813,543.60/1,157.38
  6. Step 6: Final answer
    x = 1,566.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.