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Finding the Fourth Proportional to 2,552.93, 3,829.70 and 909.64

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Solution

The fourth proportional to 2,552.93, 3,829.70 and 909.64 is: 1,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.93 : 3,829.70 = 909.64 : x
  2. Step 2: Convert to fraction form
    2,552.93/3,829.70 = 909.64/x
  3. Step 3: Cross multiply
    2,552.93x = 3,829.70 × 909.64
  4. Step 4: Simplify right side
    2,552.93x = 3,483,655.37
  5. Step 5: Solve for x
    x = 3,483,655.37/2,552.93
  6. Step 6: Final answer
    x = 1,364.57

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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.