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Finding the Fourth Proportional to 3,465.57, 5,196.80 and 999.80

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Solution

The fourth proportional to 3,465.57, 5,196.80 and 999.80 is: 1,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.57 : 5,196.80 = 999.80 : x
  2. Step 2: Convert to fraction form
    3,465.57/5,196.80 = 999.80/x
  3. Step 3: Cross multiply
    3,465.57x = 5,196.80 × 999.80
  4. Step 4: Simplify right side
    3,465.57x = 5,195,756.64
  5. Step 5: Solve for x
    x = 5,195,756.64/3,465.57
  6. Step 6: Final answer
    x = 1,499.25

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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.