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Finding the Fourth Proportional to 3,114.93, 4,671.03 and 1,653.75

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Solution

The fourth proportional to 3,114.93, 4,671.03 and 1,653.75 is: 2,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.93 : 4,671.03 = 1,653.75 : x
  2. Step 2: Convert to fraction form
    3,114.93/4,671.03 = 1,653.75/x
  3. Step 3: Cross multiply
    3,114.93x = 4,671.03 × 1,653.75
  4. Step 4: Simplify right side
    3,114.93x = 7,724,715.86
  5. Step 5: Solve for x
    x = 7,724,715.86/3,114.93
  6. Step 6: Final answer
    x = 2,479.90

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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.