Home / 1,153.60-1,722.36-947.62

Finding the Fourth Proportional to 1,153.60, 1,722.36 and 947.62

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Solution

The fourth proportional to 1,153.60, 1,722.36 and 947.62 is: 1,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.60 : 1,722.36 = 947.62 : x
  2. Step 2: Convert to fraction form
    1,153.60/1,722.36 = 947.62/x
  3. Step 3: Cross multiply
    1,153.60x = 1,722.36 × 947.62
  4. Step 4: Simplify right side
    1,153.60x = 1,632,142.78
  5. Step 5: Solve for x
    x = 1,632,142.78/1,153.60
  6. Step 6: Final answer
    x = 1,414.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.