Home / 1,202.40-1,803.60-1,166.40

Finding the Fourth Proportional to 1,202.40, 1,803.60 and 1,166.40

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Solution

The fourth proportional to 1,202.40, 1,803.60 and 1,166.40 is: 1,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.40 : 1,803.60 = 1,166.40 : x
  2. Step 2: Convert to fraction form
    1,202.40/1,803.60 = 1,166.40/x
  3. Step 3: Cross multiply
    1,202.40x = 1,803.60 × 1,166.40
  4. Step 4: Simplify right side
    1,202.40x = 2,103,719.04
  5. Step 5: Solve for x
    x = 2,103,719.04/1,202.40
  6. Step 6: Final answer
    x = 1,749.60

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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.