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Finding the Fourth Proportional to 3,470.57, 5,205.85 and 873.50

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Solution

The fourth proportional to 3,470.57, 5,205.85 and 873.50 is: 1,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.57 : 5,205.85 = 873.50 : x
  2. Step 2: Convert to fraction form
    3,470.57/5,205.85 = 873.50/x
  3. Step 3: Cross multiply
    3,470.57x = 5,205.85 × 873.50
  4. Step 4: Simplify right side
    3,470.57x = 4,547,305.61
  5. Step 5: Solve for x
    x = 4,547,305.61/3,470.57
  6. Step 6: Final answer
    x = 1,310.25

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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.