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Finding the Fourth Proportional to 5,720.76, 8,533.26 and 4,785.84

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Solution

The fourth proportional to 5,720.76, 8,533.26 and 4,785.84 is: 7,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.76 : 8,533.26 = 4,785.84 : x
  2. Step 2: Convert to fraction form
    5,720.76/8,533.26 = 4,785.84/x
  3. Step 3: Cross multiply
    5,720.76x = 8,533.26 × 4,785.84
  4. Step 4: Simplify right side
    5,720.76x = 40,838,817.04
  5. Step 5: Solve for x
    x = 40,838,817.04/5,720.76
  6. Step 6: Final answer
    x = 7,138.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.