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Finding the Fourth Proportional to 5,671.30, 7,828.02 and 3,785.62

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Solution

The fourth proportional to 5,671.30, 7,828.02 and 3,785.62 is: 5,225.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.30 : 7,828.02 = 3,785.62 : x
  2. Step 2: Convert to fraction form
    5,671.30/7,828.02 = 3,785.62/x
  3. Step 3: Cross multiply
    5,671.30x = 7,828.02 × 3,785.62
  4. Step 4: Simplify right side
    5,671.30x = 29,633,909.07
  5. Step 5: Solve for x
    x = 29,633,909.07/5,671.30
  6. Step 6: Final answer
    x = 5,225.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.