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Finding the Fourth Proportional to 2,454.95, 3,683.04 and 811.53

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Solution

The fourth proportional to 2,454.95, 3,683.04 and 811.53 is: 1,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.95 : 3,683.04 = 811.53 : x
  2. Step 2: Convert to fraction form
    2,454.95/3,683.04 = 811.53/x
  3. Step 3: Cross multiply
    2,454.95x = 3,683.04 × 811.53
  4. Step 4: Simplify right side
    2,454.95x = 2,988,894.41
  5. Step 5: Solve for x
    x = 2,988,894.41/2,454.95
  6. Step 6: Final answer
    x = 1,217.50

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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.